What is the Greatest Common Factor of 26614 and 26628?

Greatest common factor (GCF) of 26614 and 26628 is 14.

GCF(26614,26628) = 14

We will now calculate the prime factors of 26614 and 26628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26614 and 26628.

How to find the GCF of 26614 and 26628?

We will first find the prime factorization of 26614 and 26628. After we will calculate the factors of 26614 and 26628 and find the biggest common factor number .

Step-1: Prime Factorization of 26614

Prime factors of 26614 are 2, 7, 1901. Prime factorization of 26614 in exponential form is:

26614 = 2¹ × 7¹ × 1901¹

Step-2: Prime Factorization of 26628

Prime factors of 26628 are 2, 3, 7, 317. Prime factorization of 26628 in exponential form is:

26628 = 2² × 3¹ × 7¹ × 317¹

Step-3: Factors of 26614

List of positive integer factors of 26614 that divides 26614 without a remainder.

1, 2, 7, 14, 1901, 3802, 13307

Step-4: Factors of 26628

List of positive integer factors of 26628 that divides 26614 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 317, 634, 951, 1268, 1902, 2219, 3804, 4438, 6657, 8876, 13314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26614 and 26628. The biggest common factor number is the GCF number.
So the greatest common factor 26614 and 26628 is 14.

Also check out the Least Common Multiple of 26614 and 26628