What is the Greatest Common Factor of 53115 and 53124?

Greatest common factor (GCF) of 53115 and 53124 is 3.

GCF(53115,53124) = 3

We will now calculate the prime factors of 53115 and 53124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53115 and 53124.

How to find the GCF of 53115 and 53124?

We will first find the prime factorization of 53115 and 53124. After we will calculate the factors of 53115 and 53124 and find the biggest common factor number .

Step-1: Prime Factorization of 53115

Prime factors of 53115 are 3, 5, 3541. Prime factorization of 53115 in exponential form is:

53115 = 3¹ × 5¹ × 3541¹

Step-2: Prime Factorization of 53124

Prime factors of 53124 are 2, 3, 19, 233. Prime factorization of 53124 in exponential form is:

53124 = 2² × 3¹ × 19¹ × 233¹

Step-3: Factors of 53115

List of positive integer factors of 53115 that divides 53115 without a remainder.

1, 3, 5, 15, 3541, 10623, 17705

Step-4: Factors of 53124

List of positive integer factors of 53124 that divides 53115 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 233, 466, 699, 932, 1398, 2796, 4427, 8854, 13281, 17708, 26562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53115 and 53124. The biggest common factor number is the GCF number.
So the greatest common factor 53115 and 53124 is 3.

Also check out the Least Common Multiple of 53115 and 53124