What is the Greatest Common Factor of 52528 and 52542?

Greatest common factor (GCF) of 52528 and 52542 is 14.

GCF(52528,52542) = 14

We will now calculate the prime factors of 52528 and 52542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52528 and 52542.

How to find the GCF of 52528 and 52542?

We will first find the prime factorization of 52528 and 52542. After we will calculate the factors of 52528 and 52542 and find the biggest common factor number .

Step-1: Prime Factorization of 52528

Prime factors of 52528 are 2, 7, 67. Prime factorization of 52528 in exponential form is:

52528 = 2⁴ × 7² × 67¹

Step-2: Prime Factorization of 52542

Prime factors of 52542 are 2, 3, 7, 139. Prime factorization of 52542 in exponential form is:

52542 = 2¹ × 3³ × 7¹ × 139¹

Step-3: Factors of 52528

List of positive integer factors of 52528 that divides 52528 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 67, 98, 112, 134, 196, 268, 392, 469, 536, 784, 938, 1072, 1876, 3283, 3752, 6566, 7504, 13132, 26264

Step-4: Factors of 52542

List of positive integer factors of 52542 that divides 52528 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 139, 189, 278, 378, 417, 834, 973, 1251, 1946, 2502, 2919, 3753, 5838, 7506, 8757, 17514, 26271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52528 and 52542. The biggest common factor number is the GCF number.
So the greatest common factor 52528 and 52542 is 14.

Also check out the Least Common Multiple of 52528 and 52542