What is the Greatest Common Factor of 52606 and 52625?

Greatest common factor (GCF) of 52606 and 52625 is 1.

GCF(52606,52625) = 1

We will now calculate the prime factors of 52606 and 52625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52606 and 52625.

How to find the GCF of 52606 and 52625?

We will first find the prime factorization of 52606 and 52625. After we will calculate the factors of 52606 and 52625 and find the biggest common factor number .

Step-1: Prime Factorization of 52606

Prime factors of 52606 are 2, 29, 907. Prime factorization of 52606 in exponential form is:

52606 = 2¹ × 29¹ × 907¹

Step-2: Prime Factorization of 52625

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

52625 = 5³ × 421¹

Step-3: Factors of 52606

List of positive integer factors of 52606 that divides 52606 without a remainder.

1, 2, 29, 58, 907, 1814, 26303

Step-4: Factors of 52625

List of positive integer factors of 52625 that divides 52606 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52606 and 52625. The biggest common factor number is the GCF number.
So the greatest common factor 52606 and 52625 is 1.

Also check out the Least Common Multiple of 52606 and 52625