What is the Greatest Common Factor of 52627 and 52638?

Greatest common factor (GCF) of 52627 and 52638 is 1.

GCF(52627,52638) = 1

We will now calculate the prime factors of 52627 and 52638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52627 and 52638.

How to find the GCF of 52627 and 52638?

We will first find the prime factorization of 52627 and 52638. After we will calculate the factors of 52627 and 52638 and find the biggest common factor number .

Step-1: Prime Factorization of 52627

Prime factors of 52627 are 52627. Prime factorization of 52627 in exponential form is:

52627 = 52627¹

Step-2: Prime Factorization of 52638

Prime factors of 52638 are 2, 3, 31, 283. Prime factorization of 52638 in exponential form is:

52638 = 2¹ × 3¹ × 31¹ × 283¹

Step-3: Factors of 52627

List of positive integer factors of 52627 that divides 52627 without a remainder.

Step-4: Factors of 52638

List of positive integer factors of 52638 that divides 52627 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 283, 566, 849, 1698, 8773, 17546, 26319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52627 and 52638. The biggest common factor number is the GCF number.
So the greatest common factor 52627 and 52638 is 1.

Also check out the Least Common Multiple of 52627 and 52638