What is the Greatest Common Factor of 51625 and 51634?

Greatest common factor (GCF) of 51625 and 51634 is 1.

GCF(51625,51634) = 1

We will now calculate the prime factors of 51625 and 51634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51625 and 51634.

How to find the GCF of 51625 and 51634?

We will first find the prime factorization of 51625 and 51634. After we will calculate the factors of 51625 and 51634 and find the biggest common factor number .

Step-1: Prime Factorization of 51625

Prime factors of 51625 are 5, 7, 59. Prime factorization of 51625 in exponential form is:

51625 = 5³ × 7¹ × 59¹

Step-2: Prime Factorization of 51634

Prime factors of 51634 are 2, 11, 2347. Prime factorization of 51634 in exponential form is:

51634 = 2¹ × 11¹ × 2347¹

Step-3: Factors of 51625

List of positive integer factors of 51625 that divides 51625 without a remainder.

1, 5, 7, 25, 35, 59, 125, 175, 295, 413, 875, 1475, 2065, 7375, 10325

Step-4: Factors of 51634

List of positive integer factors of 51634 that divides 51625 without a remainder.

1, 2, 11, 22, 2347, 4694, 25817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51625 and 51634. The biggest common factor number is the GCF number.
So the greatest common factor 51625 and 51634 is 1.

Also check out the Least Common Multiple of 51625 and 51634