What is the Greatest Common Factor of 53164 and 53172?

Greatest common factor (GCF) of 53164 and 53172 is 4.

GCF(53164,53172) = 4

We will now calculate the prime factors of 53164 and 53172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53164 and 53172.

How to find the GCF of 53164 and 53172?

We will first find the prime factorization of 53164 and 53172. After we will calculate the factors of 53164 and 53172 and find the biggest common factor number .

Step-1: Prime Factorization of 53164

Prime factors of 53164 are 2, 13291. Prime factorization of 53164 in exponential form is:

53164 = 2² × 13291¹

Step-2: Prime Factorization of 53172

Prime factors of 53172 are 2, 3, 7, 211. Prime factorization of 53172 in exponential form is:

53172 = 2² × 3² × 7¹ × 211¹

Step-3: Factors of 53164

List of positive integer factors of 53164 that divides 53164 without a remainder.

1, 2, 4, 13291, 26582

Step-4: Factors of 53172

List of positive integer factors of 53172 that divides 53164 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 211, 252, 422, 633, 844, 1266, 1477, 1899, 2532, 2954, 3798, 4431, 5908, 7596, 8862, 13293, 17724, 26586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53164 and 53172. The biggest common factor number is the GCF number.
So the greatest common factor 53164 and 53172 is 4.

Also check out the Least Common Multiple of 53164 and 53172