What is the Greatest Common Factor of 25994 and 26008?

Greatest common factor (GCF) of 25994 and 26008 is 2.

GCF(25994,26008) = 2

We will now calculate the prime factors of 25994 and 26008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25994 and 26008.

How to find the GCF of 25994 and 26008?

We will first find the prime factorization of 25994 and 26008. After we will calculate the factors of 25994 and 26008 and find the biggest common factor number .

Step-1: Prime Factorization of 25994

Prime factors of 25994 are 2, 41, 317. Prime factorization of 25994 in exponential form is:

25994 = 2¹ × 41¹ × 317¹

Step-2: Prime Factorization of 26008

Prime factors of 26008 are 2, 3251. Prime factorization of 26008 in exponential form is:

26008 = 2³ × 3251¹

Step-3: Factors of 25994

List of positive integer factors of 25994 that divides 25994 without a remainder.

1, 2, 41, 82, 317, 634, 12997

Step-4: Factors of 26008

List of positive integer factors of 26008 that divides 25994 without a remainder.

1, 2, 4, 8, 3251, 6502, 13004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25994 and 26008. The biggest common factor number is the GCF number.
So the greatest common factor 25994 and 26008 is 2.

Also check out the Least Common Multiple of 25994 and 26008