What is the Greatest Common Factor of 64452 and 64468?

Greatest common factor (GCF) of 64452 and 64468 is 4.

GCF(64452,64468) = 4

We will now calculate the prime factors of 64452 and 64468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64452 and 64468.

How to find the GCF of 64452 and 64468?

We will first find the prime factorization of 64452 and 64468. After we will calculate the factors of 64452 and 64468 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 64468

Prime factors of 64468 are 2, 71, 227. Prime factorization of 64468 in exponential form is:

64468 = 2² × 71¹ × 227¹

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 64468

List of positive integer factors of 64468 that divides 64452 without a remainder.

1, 2, 4, 71, 142, 227, 284, 454, 908, 16117, 32234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64452 and 64468. The biggest common factor number is the GCF number.
So the greatest common factor 64452 and 64468 is 4.

Also check out the Least Common Multiple of 64452 and 64468