What is the Greatest Common Factor of 26975 and 26990?

Greatest common factor (GCF) of 26975 and 26990 is 5.

GCF(26975,26990) = 5

We will now calculate the prime factors of 26975 and 26990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26975 and 26990.

How to find the GCF of 26975 and 26990?

We will first find the prime factorization of 26975 and 26990. After we will calculate the factors of 26975 and 26990 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 26990

Prime factors of 26990 are 2, 5, 2699. Prime factorization of 26990 in exponential form is:

26990 = 2¹ × 5¹ × 2699¹

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 26990

List of positive integer factors of 26990 that divides 26975 without a remainder.

1, 2, 5, 10, 2699, 5398, 13495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26975 and 26990. The biggest common factor number is the GCF number.
So the greatest common factor 26975 and 26990 is 5.

Also check out the Least Common Multiple of 26975 and 26990