What is the Greatest Common Factor of 12975 and 12995?

Greatest common factor (GCF) of 12975 and 12995 is 5.

GCF(12975,12995) = 5

We will now calculate the prime factors of 12975 and 12995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12975 and 12995.

How to find the GCF of 12975 and 12995?

We will first find the prime factorization of 12975 and 12995. After we will calculate the factors of 12975 and 12995 and find the biggest common factor number .

Step-1: Prime Factorization of 12975

Prime factors of 12975 are 3, 5, 173. Prime factorization of 12975 in exponential form is:

12975 = 3¹ × 5² × 173¹

Step-2: Prime Factorization of 12995

Prime factors of 12995 are 5, 23, 113. Prime factorization of 12995 in exponential form is:

12995 = 5¹ × 23¹ × 113¹

Step-3: Factors of 12975

List of positive integer factors of 12975 that divides 12975 without a remainder.

1, 3, 5, 15, 25, 75, 173, 519, 865, 2595, 4325

Step-4: Factors of 12995

List of positive integer factors of 12995 that divides 12975 without a remainder.

1, 5, 23, 113, 115, 565, 2599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12975 and 12995. The biggest common factor number is the GCF number.
So the greatest common factor 12975 and 12995 is 5.

Also check out the Least Common Multiple of 12975 and 12995