What is the Greatest Common Factor of 53494 and 53508?

Greatest common factor (GCF) of 53494 and 53508 is 14.

GCF(53494,53508) = 14

We will now calculate the prime factors of 53494 and 53508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53494 and 53508.

How to find the GCF of 53494 and 53508?

We will first find the prime factorization of 53494 and 53508. After we will calculate the factors of 53494 and 53508 and find the biggest common factor number .

Step-1: Prime Factorization of 53494

Prime factors of 53494 are 2, 7, 3821. Prime factorization of 53494 in exponential form is:

53494 = 2¹ × 7¹ × 3821¹

Step-2: 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-3: Factors of 53494

List of positive integer factors of 53494 that divides 53494 without a remainder.

1, 2, 7, 14, 3821, 7642, 26747

Step-4: Factors of 53508

List of positive integer factors of 53508 that divides 53494 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53494 and 53508. The biggest common factor number is the GCF number.
So the greatest common factor 53494 and 53508 is 14.

Also check out the Least Common Multiple of 53494 and 53508