What is the Greatest Common Factor of 54516 and 54524?

Greatest common factor (GCF) of 54516 and 54524 is 4.

GCF(54516,54524) = 4

We will now calculate the prime factors of 54516 and 54524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54516 and 54524.

How to find the GCF of 54516 and 54524?

We will first find the prime factorization of 54516 and 54524. After we will calculate the factors of 54516 and 54524 and find the biggest common factor number .

Step-1: Prime Factorization of 54516

Prime factors of 54516 are 2, 3, 7, 11, 59. Prime factorization of 54516 in exponential form is:

54516 = 2² × 3¹ × 7¹ × 11¹ × 59¹

Step-2: Prime Factorization of 54524

Prime factors of 54524 are 2, 43, 317. Prime factorization of 54524 in exponential form is:

54524 = 2² × 43¹ × 317¹

Step-3: Factors of 54516

List of positive integer factors of 54516 that divides 54516 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 59, 66, 77, 84, 118, 132, 154, 177, 231, 236, 308, 354, 413, 462, 649, 708, 826, 924, 1239, 1298, 1652, 1947, 2478, 2596, 3894, 4543, 4956, 7788, 9086, 13629, 18172, 27258

Step-4: Factors of 54524

List of positive integer factors of 54524 that divides 54516 without a remainder.

1, 2, 4, 43, 86, 172, 317, 634, 1268, 13631, 27262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54516 and 54524. The biggest common factor number is the GCF number.
So the greatest common factor 54516 and 54524 is 4.

Also check out the Least Common Multiple of 54516 and 54524