What is the Greatest Common Factor of 26975 and 26995?

Greatest common factor (GCF) of 26975 and 26995 is 5.

GCF(26975,26995) = 5

We will now calculate the prime factors of 26975 and 26995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26975 and 26995.

How to find the GCF of 26975 and 26995?

We will first find the prime factorization of 26975 and 26995. After we will calculate the factors of 26975 and 26995 and find the biggest common factor number .

Step-1: Prime Factorization of 26975

Prime factors of 26975 are 5, 13, 83. Prime factorization of 26975 in exponential form is:

26975 = 5² × 13¹ × 83¹

Step-2: Prime Factorization of 26995

Prime factors of 26995 are 5, 5399. Prime factorization of 26995 in exponential form is:

26995 = 5¹ × 5399¹

Step-3: Factors of 26975

List of positive integer factors of 26975 that divides 26975 without a remainder.

1, 5, 13, 25, 65, 83, 325, 415, 1079, 2075, 5395

Step-4: Factors of 26995

List of positive integer factors of 26995 that divides 26975 without a remainder.

1, 5, 5399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26975 and 26995. The biggest common factor number is the GCF number.
So the greatest common factor 26975 and 26995 is 5.

Also check out the Least Common Multiple of 26975 and 26995