What is the Greatest Common Factor of 26668 and 26672?

Greatest common factor (GCF) of 26668 and 26672 is 4.

GCF(26668,26672) = 4

We will now calculate the prime factors of 26668 and 26672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26668 and 26672.

How to find the GCF of 26668 and 26672?

We will first find the prime factorization of 26668 and 26672. After we will calculate the factors of 26668 and 26672 and find the biggest common factor number .

Step-1: Prime Factorization of 26668

Prime factors of 26668 are 2, 59, 113. Prime factorization of 26668 in exponential form is:

26668 = 2² × 59¹ × 113¹

Step-2: Prime Factorization of 26672

Prime factors of 26672 are 2, 1667. Prime factorization of 26672 in exponential form is:

26672 = 2⁴ × 1667¹

Step-3: Factors of 26668

List of positive integer factors of 26668 that divides 26668 without a remainder.

1, 2, 4, 59, 113, 118, 226, 236, 452, 6667, 13334

Step-4: Factors of 26672

List of positive integer factors of 26672 that divides 26668 without a remainder.

1, 2, 4, 8, 16, 1667, 3334, 6668, 13336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26668 and 26672. The biggest common factor number is the GCF number.
So the greatest common factor 26668 and 26672 is 4.

Also check out the Least Common Multiple of 26668 and 26672