What is the Greatest Common Factor of 64472 and 64492?

Greatest common factor (GCF) of 64472 and 64492 is 4.

GCF(64472,64492) = 4

We will now calculate the prime factors of 64472 and 64492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64472 and 64492.

How to find the GCF of 64472 and 64492?

We will first find the prime factorization of 64472 and 64492. After we will calculate the factors of 64472 and 64492 and find the biggest common factor number .

Step-1: Prime Factorization of 64472

Prime factors of 64472 are 2, 8059. Prime factorization of 64472 in exponential form is:

64472 = 2³ × 8059¹

Step-2: Prime Factorization of 64492

Prime factors of 64492 are 2, 23, 701. Prime factorization of 64492 in exponential form is:

64492 = 2² × 23¹ × 701¹

Step-3: Factors of 64472

List of positive integer factors of 64472 that divides 64472 without a remainder.

1, 2, 4, 8, 8059, 16118, 32236

Step-4: Factors of 64492

List of positive integer factors of 64492 that divides 64472 without a remainder.

1, 2, 4, 23, 46, 92, 701, 1402, 2804, 16123, 32246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64472 and 64492. The biggest common factor number is the GCF number.
So the greatest common factor 64472 and 64492 is 4.

Also check out the Least Common Multiple of 64472 and 64492