What is the Greatest Common Factor of 52542 and 52549?

Greatest common factor (GCF) of 52542 and 52549 is 7.

GCF(52542,52549) = 7

We will now calculate the prime factors of 52542 and 52549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52542 and 52549.

How to find the GCF of 52542 and 52549?

We will first find the prime factorization of 52542 and 52549. After we will calculate the factors of 52542 and 52549 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52549

Prime factors of 52549 are 7, 7507. Prime factorization of 52549 in exponential form is:

52549 = 7¹ × 7507¹

Step-3: Factors of 52542

List of positive integer factors of 52542 that divides 52542 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

Step-4: Factors of 52549

List of positive integer factors of 52549 that divides 52542 without a remainder.

1, 7, 7507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52542 and 52549. The biggest common factor number is the GCF number.
So the greatest common factor 52542 and 52549 is 7.

Also check out the Least Common Multiple of 52542 and 52549