What is the Greatest Common Factor of 64472 and 64482?

Greatest common factor (GCF) of 64472 and 64482 is 2.

GCF(64472,64482) = 2

We will now calculate the prime factors of 64472 and 64482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64472 and 64482.

How to find the GCF of 64472 and 64482?

We will first find the prime factorization of 64472 and 64482. After we will calculate the factors of 64472 and 64482 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 64482

Prime factors of 64482 are 2, 3, 11, 977. Prime factorization of 64482 in exponential form is:

64482 = 2¹ × 3¹ × 11¹ × 977¹

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 64482

List of positive integer factors of 64482 that divides 64472 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 977, 1954, 2931, 5862, 10747, 21494, 32241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64472 and 64482. The biggest common factor number is the GCF number.
So the greatest common factor 64472 and 64482 is 2.

Also check out the Least Common Multiple of 64472 and 64482