What is the greatest common factor of 142 and 284?

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Thank you!

To find the greatest common factor (GCF) of two numbers, such as 142 and 284, you can follow these steps:

1. Start by listing the prime factors of each number. To do this, you can use prime factorization. Divide the number by the smallest prime number (2) until you can no longer divide evenly. Repeat the process for the next prime numbers (3, 5, 7, etc.) until you have only prime factors left.

Prime factorization of 142:
142 ÷ 2 = 71
71 is prime, so the prime factors of 142 are 2 and 71.

Prime factorization of 284:
284 ÷ 2 = 142
142 ÷ 2 = 71
71 is prime, so the prime factors of 284 are 2, 2, and 71.

2. Find the common factors of the two numbers by looking for factors they both share. In this case, both numbers have a factor of 71 in common.

3. Finally, determine the greatest common factor by multiplying the common factors together. In this case, the GCF of 142 and 284 is 71.

I hope this helps! If you would like further assistance or have more questions, feel free to ask.