What is the greatest common factor of 60, 45 and 82?
A. 1
B. 2
C. 3
D. 5
Ty that is correct
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To find the greatest common factor of multiple numbers, you can use the method of prime factorization. Here's how you can find the greatest common factor (GCF) of 60, 45, and 82:
Step 1: Prime factorization of each number:
- 60 = 2^2 * 3 * 5
- 45 = 3^2 * 5
- 82 = 2 * 41
Step 2: Identify the common prime factors:
- The common prime factors are 2, 3, and 5.
Step 3: Determine the lowest exponent for each common prime factor:
- The lowest exponent of 2 is 1 (from 82).
- The lowest exponent of 3 is 1 (from 45).
- The lowest exponent of 5 is 1 (from both 60 and 45).
Step 4: Multiply the prime factors with the lowest exponents:
- GCF = 2^1 * 3^1 * 5^1 = 2 * 3 * 5 = 30
Therefore, the greatest common factor of 60, 45, and 82 is 30.
Answer: None of the provided options (A, B, C, or D) match the correct answer.