What is the Greatest Common Factor of 52509 and 52528?

Greatest common factor (GCF) of 52509 and 52528 is 1.

GCF(52509,52528) = 1

We will now calculate the prime factors of 52509 and 52528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52509 and 52528.

How to find the GCF of 52509 and 52528?

We will first find the prime factorization of 52509 and 52528. After we will calculate the factors of 52509 and 52528 and find the biggest common factor number .

Step-1: Prime Factorization of 52509

Prime factors of 52509 are 3, 23, 761. Prime factorization of 52509 in exponential form is:

52509 = 3¹ × 23¹ × 761¹

Step-2: 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-3: Factors of 52509

List of positive integer factors of 52509 that divides 52509 without a remainder.

1, 3, 23, 69, 761, 2283, 17503

Step-4: Factors of 52528

List of positive integer factors of 52528 that divides 52509 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52509 and 52528. The biggest common factor number is the GCF number.
So the greatest common factor 52509 and 52528 is 1.

Also check out the Least Common Multiple of 52509 and 52528