What is the Greatest Common Factor of 53508 and 53514?

Greatest common factor (GCF) of 53508 and 53514 is 6.

GCF(53508,53514) = 6

We will now calculate the prime factors of 53508 and 53514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53508 and 53514.

How to find the GCF of 53508 and 53514?

We will first find the prime factorization of 53508 and 53514. After we will calculate the factors of 53508 and 53514 and find the biggest common factor number .

Step-1: Prime Factorization of 53508

Prime factors of 53508 are 2, 3, 7, 13. Prime factorization of 53508 in exponential form is:

53508 = 2² × 3¹ × 7³ × 13¹

Step-2: Prime Factorization of 53514

Prime factors of 53514 are 2, 3, 991. Prime factorization of 53514 in exponential form is:

53514 = 2¹ × 3³ × 991¹

Step-3: Factors of 53508

List of positive integer factors of 53508 that divides 53508 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 182, 196, 273, 294, 343, 364, 546, 588, 637, 686, 1029, 1092, 1274, 1372, 1911, 2058, 2548, 3822, 4116, 4459, 7644, 8918, 13377, 17836, 26754

Step-4: Factors of 53514

List of positive integer factors of 53514 that divides 53508 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 991, 1982, 2973, 5946, 8919, 17838, 26757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53508 and 53514. The biggest common factor number is the GCF number.
So the greatest common factor 53508 and 53514 is 6.

Also check out the Least Common Multiple of 53508 and 53514