What is the Greatest Common Factor of 52625 and 52643?

Greatest common factor (GCF) of 52625 and 52643 is 1.

GCF(52625,52643) = 1

We will now calculate the prime factors of 52625 and 52643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52625 and 52643.

How to find the GCF of 52625 and 52643?

We will first find the prime factorization of 52625 and 52643. After we will calculate the factors of 52625 and 52643 and find the biggest common factor number .

Step-1: Prime Factorization of 52625

Prime factors of 52625 are 5, 421. Prime factorization of 52625 in exponential form is:

52625 = 5³ × 421¹

Step-2: Prime Factorization of 52643

Prime factors of 52643 are 61, 863. Prime factorization of 52643 in exponential form is:

52643 = 61¹ × 863¹

Step-3: Factors of 52625

List of positive integer factors of 52625 that divides 52625 without a remainder.

1, 5, 25, 125, 421, 2105, 10525

Step-4: Factors of 52643

List of positive integer factors of 52643 that divides 52625 without a remainder.

1, 61, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52625 and 52643. The biggest common factor number is the GCF number.
So the greatest common factor 52625 and 52643 is 1.

Also check out the Least Common Multiple of 52625 and 52643