What is the Greatest Common Factor of 64452 and 64462?

Greatest common factor (GCF) of 64452 and 64462 is 2.

GCF(64452,64462) = 2

We will now calculate the prime factors of 64452 and 64462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64452 and 64462.

How to find the GCF of 64452 and 64462?

We will first find the prime factorization of 64452 and 64462. After we will calculate the factors of 64452 and 64462 and find the biggest common factor number .

Step-1: Prime Factorization of 64452

Prime factors of 64452 are 2, 3, 41, 131. Prime factorization of 64452 in exponential form is:

64452 = 2² × 3¹ × 41¹ × 131¹

Step-2: Prime Factorization of 64462

Prime factors of 64462 are 2, 167, 193. Prime factorization of 64462 in exponential form is:

64462 = 2¹ × 167¹ × 193¹

Step-3: Factors of 64452

List of positive integer factors of 64452 that divides 64452 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 131, 164, 246, 262, 393, 492, 524, 786, 1572, 5371, 10742, 16113, 21484, 32226

Step-4: Factors of 64462

List of positive integer factors of 64462 that divides 64452 without a remainder.

1, 2, 167, 193, 334, 386, 32231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64452 and 64462. The biggest common factor number is the GCF number.
So the greatest common factor 64452 and 64462 is 2.

Also check out the Least Common Multiple of 64452 and 64462