What is the Greatest Common Factor of 51625 and 51640?

Greatest common factor (GCF) of 51625 and 51640 is 5.

GCF(51625,51640) = 5

We will now calculate the prime factors of 51625 and 51640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51625 and 51640.

How to find the GCF of 51625 and 51640?

We will first find the prime factorization of 51625 and 51640. After we will calculate the factors of 51625 and 51640 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 51640

Prime factors of 51640 are 2, 5, 1291. Prime factorization of 51640 in exponential form is:

51640 = 2³ × 5¹ × 1291¹

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 51640

List of positive integer factors of 51640 that divides 51625 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1291, 2582, 5164, 6455, 10328, 12910, 25820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51625 and 51640. The biggest common factor number is the GCF number.
So the greatest common factor 51625 and 51640 is 5.

Also check out the Least Common Multiple of 51625 and 51640