What is the Greatest Common Factor of 53484 and 53502?

Greatest common factor (GCF) of 53484 and 53502 is 6.

GCF(53484,53502) = 6

We will now calculate the prime factors of 53484 and 53502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53484 and 53502.

How to find the GCF of 53484 and 53502?

We will first find the prime factorization of 53484 and 53502. After we will calculate the factors of 53484 and 53502 and find the biggest common factor number .

Step-1: Prime Factorization of 53484

Prime factors of 53484 are 2, 3, 4457. Prime factorization of 53484 in exponential form is:

53484 = 2² × 3¹ × 4457¹

Step-2: Prime Factorization of 53502

Prime factors of 53502 are 2, 3, 37, 241. Prime factorization of 53502 in exponential form is:

53502 = 2¹ × 3¹ × 37¹ × 241¹

Step-3: Factors of 53484

List of positive integer factors of 53484 that divides 53484 without a remainder.

1, 2, 3, 4, 6, 12, 4457, 8914, 13371, 17828, 26742

Step-4: Factors of 53502

List of positive integer factors of 53502 that divides 53484 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 241, 482, 723, 1446, 8917, 17834, 26751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53484 and 53502. The biggest common factor number is the GCF number.
So the greatest common factor 53484 and 53502 is 6.

Also check out the Least Common Multiple of 53484 and 53502