What is the Greatest Common Factor of 26016 and 26028?

Greatest common factor (GCF) of 26016 and 26028 is 12.

GCF(26016,26028) = 12

We will now calculate the prime factors of 26016 and 26028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26016 and 26028.

How to find the GCF of 26016 and 26028?

We will first find the prime factorization of 26016 and 26028. After we will calculate the factors of 26016 and 26028 and find the biggest common factor number .

Step-1: Prime Factorization of 26016

Prime factors of 26016 are 2, 3, 271. Prime factorization of 26016 in exponential form is:

26016 = 2⁵ × 3¹ × 271¹

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 26016

List of positive integer factors of 26016 that divides 26016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 271, 542, 813, 1084, 1626, 2168, 3252, 4336, 6504, 8672, 13008

Step-4: Factors of 26028

List of positive integer factors of 26028 that divides 26016 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 26016 and 26028. The biggest common factor number is the GCF number.
So the greatest common factor 26016 and 26028 is 12.

Also check out the Least Common Multiple of 26016 and 26028