What is the Greatest Common Factor of 61625 and 61636?

Greatest common factor (GCF) of 61625 and 61636 is 1.

GCF(61625,61636) = 1

We will now calculate the prime factors of 61625 and 61636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61625 and 61636.

How to find the GCF of 61625 and 61636?

We will first find the prime factorization of 61625 and 61636. After we will calculate the factors of 61625 and 61636 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 61636

Prime factors of 61636 are 2, 19, 811. Prime factorization of 61636 in exponential form is:

61636 = 2² × 19¹ × 811¹

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 61636

List of positive integer factors of 61636 that divides 61625 without a remainder.

1, 2, 4, 19, 38, 76, 811, 1622, 3244, 15409, 30818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61625 and 61636. The biggest common factor number is the GCF number.
So the greatest common factor 61625 and 61636 is 1.

Also check out the Least Common Multiple of 61625 and 61636