What is the Greatest Common Factor of 64164 and 64172?

Greatest common factor (GCF) of 64164 and 64172 is 4.

GCF(64164,64172) = 4

We will now calculate the prime factors of 64164 and 64172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64164 and 64172.

How to find the GCF of 64164 and 64172?

We will first find the prime factorization of 64164 and 64172. After we will calculate the factors of 64164 and 64172 and find the biggest common factor number .

Step-1: Prime Factorization of 64164

Prime factors of 64164 are 2, 3, 5347. Prime factorization of 64164 in exponential form is:

64164 = 2² × 3¹ × 5347¹

Step-2: Prime Factorization of 64172

Prime factors of 64172 are 2, 61, 263. Prime factorization of 64172 in exponential form is:

64172 = 2² × 61¹ × 263¹

Step-3: Factors of 64164

List of positive integer factors of 64164 that divides 64164 without a remainder.

1, 2, 3, 4, 6, 12, 5347, 10694, 16041, 21388, 32082

Step-4: Factors of 64172

List of positive integer factors of 64172 that divides 64164 without a remainder.

1, 2, 4, 61, 122, 244, 263, 526, 1052, 16043, 32086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64164 and 64172. The biggest common factor number is the GCF number.
So the greatest common factor 64164 and 64172 is 4.

Also check out the Least Common Multiple of 64164 and 64172