What is the Greatest Common Factor of 25974 and 25979?

Greatest common factor (GCF) of 25974 and 25979 is 1.

GCF(25974,25979) = 1

We will now calculate the prime factors of 25974 and 25979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25974 and 25979.

How to find the GCF of 25974 and 25979?

We will first find the prime factorization of 25974 and 25979. After we will calculate the factors of 25974 and 25979 and find the biggest common factor number .

Step-1: Prime Factorization of 25974

Prime factors of 25974 are 2, 3, 13, 37. Prime factorization of 25974 in exponential form is:

25974 = 2¹ × 3³ × 13¹ × 37¹

Step-2: Prime Factorization of 25979

Prime factors of 25979 are 83, 313. Prime factorization of 25979 in exponential form is:

25979 = 83¹ × 313¹

Step-3: Factors of 25974

List of positive integer factors of 25974 that divides 25974 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 37, 39, 54, 74, 78, 111, 117, 222, 234, 333, 351, 481, 666, 702, 962, 999, 1443, 1998, 2886, 4329, 8658, 12987

Step-4: Factors of 25979

List of positive integer factors of 25979 that divides 25974 without a remainder.

1, 83, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25974 and 25979. The biggest common factor number is the GCF number.
So the greatest common factor 25974 and 25979 is 1.

Also check out the Least Common Multiple of 25974 and 25979