What is the Greatest Common Factor of 53124 and 53133?

Greatest common factor (GCF) of 53124 and 53133 is 3.

GCF(53124,53133) = 3

We will now calculate the prime factors of 53124 and 53133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53124 and 53133.

How to find the GCF of 53124 and 53133?

We will first find the prime factorization of 53124 and 53133. After we will calculate the factors of 53124 and 53133 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53133

Prime factors of 53133 are 3, 89, 199. Prime factorization of 53133 in exponential form is:

53133 = 3¹ × 89¹ × 199¹

Step-3: Factors of 53124

List of positive integer factors of 53124 that divides 53124 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

Step-4: Factors of 53133

List of positive integer factors of 53133 that divides 53124 without a remainder.

1, 3, 89, 199, 267, 597, 17711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53124 and 53133. The biggest common factor number is the GCF number.
So the greatest common factor 53124 and 53133 is 3.

Also check out the Least Common Multiple of 53124 and 53133