What is the Greatest Common Factor of 26625 and 26636?

Greatest common factor (GCF) of 26625 and 26636 is 1.

GCF(26625,26636) = 1

We will now calculate the prime factors of 26625 and 26636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26625 and 26636.

How to find the GCF of 26625 and 26636?

We will first find the prime factorization of 26625 and 26636. After we will calculate the factors of 26625 and 26636 and find the biggest common factor number .

Step-1: Prime Factorization of 26625

Prime factors of 26625 are 3, 5, 71. Prime factorization of 26625 in exponential form is:

26625 = 3¹ × 5³ × 71¹

Step-2: Prime Factorization of 26636

Prime factors of 26636 are 2, 6659. Prime factorization of 26636 in exponential form is:

26636 = 2² × 6659¹

Step-3: Factors of 26625

List of positive integer factors of 26625 that divides 26625 without a remainder.

1, 3, 5, 15, 25, 71, 75, 125, 213, 355, 375, 1065, 1775, 5325, 8875

Step-4: Factors of 26636

List of positive integer factors of 26636 that divides 26625 without a remainder.

1, 2, 4, 6659, 13318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26625 and 26636. The biggest common factor number is the GCF number.
So the greatest common factor 26625 and 26636 is 1.

Also check out the Least Common Multiple of 26625 and 26636