What is the Greatest Common Factor of 26014 and 26028?

Greatest common factor (GCF) of 26014 and 26028 is 2.

GCF(26014,26028) = 2

We will now calculate the prime factors of 26014 and 26028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26014 and 26028.

How to find the GCF of 26014 and 26028?

We will first find the prime factorization of 26014 and 26028. After we will calculate the factors of 26014 and 26028 and find the biggest common factor number .

Step-1: Prime Factorization of 26014

Prime factors of 26014 are 2, 13007. Prime factorization of 26014 in exponential form is:

26014 = 2¹ × 13007¹

Step-2: Prime Factorization of 26028

Prime factors of 26028 are 2, 3, 241. Prime factorization of 26028 in exponential form is:

26028 = 2² × 3³ × 241¹

Step-3: Factors of 26014

List of positive integer factors of 26014 that divides 26014 without a remainder.

1, 2, 13007

Step-4: Factors of 26028

List of positive integer factors of 26028 that divides 26014 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 6507, 8676, 13014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26014 and 26028. The biggest common factor number is the GCF number.
So the greatest common factor 26014 and 26028 is 2.

Also check out the Least Common Multiple of 26014 and 26028