What is the Greatest Common Factor of 64172 and 64180?

Greatest common factor (GCF) of 64172 and 64180 is 4.

GCF(64172,64180) = 4

We will now calculate the prime factors of 64172 and 64180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64172 and 64180.

How to find the GCF of 64172 and 64180?

We will first find the prime factorization of 64172 and 64180. After we will calculate the factors of 64172 and 64180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64180

Prime factors of 64180 are 2, 5, 3209. Prime factorization of 64180 in exponential form is:

64180 = 2² × 5¹ × 3209¹

Step-3: Factors of 64172

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

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

Step-4: Factors of 64180

List of positive integer factors of 64180 that divides 64172 without a remainder.

1, 2, 4, 5, 10, 20, 3209, 6418, 12836, 16045, 32090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64172 and 64180. The biggest common factor number is the GCF number.
So the greatest common factor 64172 and 64180 is 4.

Also check out the Least Common Multiple of 64172 and 64180