What is the Greatest Common Factor of 26016 and 26034?

Greatest common factor (GCF) of 26016 and 26034 is 6.

GCF(26016,26034) = 6

We will now calculate the prime factors of 26016 and 26034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26016 and 26034.

How to find the GCF of 26016 and 26034?

We will first find the prime factorization of 26016 and 26034. After we will calculate the factors of 26016 and 26034 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 26034

Prime factors of 26034 are 2, 3, 4339. Prime factorization of 26034 in exponential form is:

26034 = 2¹ × 3¹ × 4339¹

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 26034

List of positive integer factors of 26034 that divides 26016 without a remainder.

1, 2, 3, 6, 4339, 8678, 13017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26016 and 26034. The biggest common factor number is the GCF number.
So the greatest common factor 26016 and 26034 is 6.

Also check out the Least Common Multiple of 26016 and 26034