What is the Greatest Common Factor of 54502 and 54516?

Greatest common factor (GCF) of 54502 and 54516 is 14.

GCF(54502,54516) = 14

We will now calculate the prime factors of 54502 and 54516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54502 and 54516.

How to find the GCF of 54502 and 54516?

We will first find the prime factorization of 54502 and 54516. After we will calculate the factors of 54502 and 54516 and find the biggest common factor number .

Step-1: Prime Factorization of 54502

Prime factors of 54502 are 2, 7, 17, 229. Prime factorization of 54502 in exponential form is:

54502 = 2¹ × 7¹ × 17¹ × 229¹

Step-2: 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-3: Factors of 54502

List of positive integer factors of 54502 that divides 54502 without a remainder.

1, 2, 7, 14, 17, 34, 119, 229, 238, 458, 1603, 3206, 3893, 7786, 27251

Step-4: Factors of 54516

List of positive integer factors of 54516 that divides 54502 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54502 and 54516. The biggest common factor number is the GCF number.
So the greatest common factor 54502 and 54516 is 14.

Also check out the Least Common Multiple of 54502 and 54516