What is the Greatest Common Factor of 61608 and 61625?

Greatest common factor (GCF) of 61608 and 61625 is 17.

GCF(61608,61625) = 17

We will now calculate the prime factors of 61608 and 61625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61608 and 61625.

How to find the GCF of 61608 and 61625?

We will first find the prime factorization of 61608 and 61625. After we will calculate the factors of 61608 and 61625 and find the biggest common factor number .

Step-1: Prime Factorization of 61608

Prime factors of 61608 are 2, 3, 17, 151. Prime factorization of 61608 in exponential form is:

61608 = 2³ × 3¹ × 17¹ × 151¹

Step-2: 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-3: Factors of 61608

List of positive integer factors of 61608 that divides 61608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 151, 204, 302, 408, 453, 604, 906, 1208, 1812, 2567, 3624, 5134, 7701, 10268, 15402, 20536, 30804

Step-4: Factors of 61625

List of positive integer factors of 61625 that divides 61608 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61608 and 61625. The biggest common factor number is the GCF number.
So the greatest common factor 61608 and 61625 is 17.

Also check out the Least Common Multiple of 61608 and 61625