What is the Greatest Common Factor of 25998 and 26012?

Greatest common factor (GCF) of 25998 and 26012 is 14.

GCF(25998,26012) = 14

We will now calculate the prime factors of 25998 and 26012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25998 and 26012.

How to find the GCF of 25998 and 26012?

We will first find the prime factorization of 25998 and 26012. After we will calculate the factors of 25998 and 26012 and find the biggest common factor number .

Step-1: Prime Factorization of 25998

Prime factors of 25998 are 2, 3, 7, 619. Prime factorization of 25998 in exponential form is:

25998 = 2¹ × 3¹ × 7¹ × 619¹

Step-2: Prime Factorization of 26012

Prime factors of 26012 are 2, 7, 929. Prime factorization of 26012 in exponential form is:

26012 = 2² × 7¹ × 929¹

Step-3: Factors of 25998

List of positive integer factors of 25998 that divides 25998 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 619, 1238, 1857, 3714, 4333, 8666, 12999

Step-4: Factors of 26012

List of positive integer factors of 26012 that divides 25998 without a remainder.

1, 2, 4, 7, 14, 28, 929, 1858, 3716, 6503, 13006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25998 and 26012. The biggest common factor number is the GCF number.
So the greatest common factor 25998 and 26012 is 14.

Also check out the Least Common Multiple of 25998 and 26012