What is the Greatest Common Factor of 25996 and 26009?

Greatest common factor (GCF) of 25996 and 26009 is 1.

GCF(25996,26009) = 1

We will now calculate the prime factors of 25996 and 26009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25996 and 26009.

How to find the GCF of 25996 and 26009?

We will first find the prime factorization of 25996 and 26009. After we will calculate the factors of 25996 and 26009 and find the biggest common factor number .

Step-1: Prime Factorization of 25996

Prime factors of 25996 are 2, 67, 97. Prime factorization of 25996 in exponential form is:

25996 = 2² × 67¹ × 97¹

Step-2: Prime Factorization of 26009

Prime factors of 26009 are 31, 839. Prime factorization of 26009 in exponential form is:

26009 = 31¹ × 839¹

Step-3: Factors of 25996

List of positive integer factors of 25996 that divides 25996 without a remainder.

1, 2, 4, 67, 97, 134, 194, 268, 388, 6499, 12998

Step-4: Factors of 26009

List of positive integer factors of 26009 that divides 25996 without a remainder.

1, 31, 839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25996 and 26009. The biggest common factor number is the GCF number.
So the greatest common factor 25996 and 26009 is 1.

Also check out the Least Common Multiple of 25996 and 26009