What is the Greatest Common Factor of 61625 and 61640?

Greatest common factor (GCF) of 61625 and 61640 is 5.

GCF(61625,61640) = 5

We will now calculate the prime factors of 61625 and 61640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61625 and 61640.

How to find the GCF of 61625 and 61640?

We will first find the prime factorization of 61625 and 61640. After we will calculate the factors of 61625 and 61640 and find the biggest common factor number .

Step-1: Prime Factorization of 61625

Prime factors of 61625 are 5, 17, 29. Prime factorization of 61625 in exponential form is:

61625 = 5³ × 17¹ × 29¹

Step-2: Prime Factorization of 61640

Prime factors of 61640 are 2, 5, 23, 67. Prime factorization of 61640 in exponential form is:

61640 = 2³ × 5¹ × 23¹ × 67¹

Step-3: Factors of 61625

List of positive integer factors of 61625 that divides 61625 without a remainder.

1, 5, 17, 25, 29, 85, 125, 145, 425, 493, 725, 2125, 2465, 3625, 12325

Step-4: Factors of 61640

List of positive integer factors of 61640 that divides 61625 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 67, 92, 115, 134, 184, 230, 268, 335, 460, 536, 670, 920, 1340, 1541, 2680, 3082, 6164, 7705, 12328, 15410, 30820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61625 and 61640. The biggest common factor number is the GCF number.
So the greatest common factor 61625 and 61640 is 5.

Also check out the Least Common Multiple of 61625 and 61640