What is the Greatest Common Factor of 26016 and 26031?

Greatest common factor (GCF) of 26016 and 26031 is 3.

GCF(26016,26031) = 3

We will now calculate the prime factors of 26016 and 26031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26016 and 26031.

How to find the GCF of 26016 and 26031?

We will first find the prime factorization of 26016 and 26031. After we will calculate the factors of 26016 and 26031 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 26031

Prime factors of 26031 are 3, 8677. Prime factorization of 26031 in exponential form is:

26031 = 3¹ × 8677¹

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 26031

List of positive integer factors of 26031 that divides 26016 without a remainder.

1, 3, 8677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26016 and 26031. The biggest common factor number is the GCF number.
So the greatest common factor 26016 and 26031 is 3.

Also check out the Least Common Multiple of 26016 and 26031