What is the Greatest Common Factor of 65625 and 65636?

Greatest common factor (GCF) of 65625 and 65636 is 1.

GCF(65625,65636) = 1

We will now calculate the prime factors of 65625 and 65636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65625 and 65636.

How to find the GCF of 65625 and 65636?

We will first find the prime factorization of 65625 and 65636. After we will calculate the factors of 65625 and 65636 and find the biggest common factor number .

Step-1: Prime Factorization of 65625

Prime factors of 65625 are 3, 5, 7. Prime factorization of 65625 in exponential form is:

65625 = 3¹ × 5⁵ × 7¹

Step-2: Prime Factorization of 65636

Prime factors of 65636 are 2, 61, 269. Prime factorization of 65636 in exponential form is:

65636 = 2² × 61¹ × 269¹

Step-3: Factors of 65625

List of positive integer factors of 65625 that divides 65625 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 625, 875, 1875, 2625, 3125, 4375, 9375, 13125, 21875

Step-4: Factors of 65636

List of positive integer factors of 65636 that divides 65625 without a remainder.

1, 2, 4, 61, 122, 244, 269, 538, 1076, 16409, 32818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65625 and 65636. The biggest common factor number is the GCF number.
So the greatest common factor 65625 and 65636 is 1.

Also check out the Least Common Multiple of 65625 and 65636