What is the Greatest Common Factor of 26616 and 26625?

Greatest common factor (GCF) of 26616 and 26625 is 3.

GCF(26616,26625) = 3

We will now calculate the prime factors of 26616 and 26625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26616 and 26625.

How to find the GCF of 26616 and 26625?

We will first find the prime factorization of 26616 and 26625. After we will calculate the factors of 26616 and 26625 and find the biggest common factor number .

Step-1: Prime Factorization of 26616

Prime factors of 26616 are 2, 3, 1109. Prime factorization of 26616 in exponential form is:

26616 = 2³ × 3¹ × 1109¹

Step-2: 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-3: Factors of 26616

List of positive integer factors of 26616 that divides 26616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1109, 2218, 3327, 4436, 6654, 8872, 13308

Step-4: Factors of 26625

List of positive integer factors of 26625 that divides 26616 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26616 and 26625. The biggest common factor number is the GCF number.
So the greatest common factor 26616 and 26625 is 3.

Also check out the Least Common Multiple of 26616 and 26625