What is the Greatest Common Factor of 26980 and 26995?

Greatest common factor (GCF) of 26980 and 26995 is 5.

GCF(26980,26995) = 5

We will now calculate the prime factors of 26980 and 26995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26980 and 26995.

How to find the GCF of 26980 and 26995?

We will first find the prime factorization of 26980 and 26995. After we will calculate the factors of 26980 and 26995 and find the biggest common factor number .

Step-1: Prime Factorization of 26980

Prime factors of 26980 are 2, 5, 19, 71. Prime factorization of 26980 in exponential form is:

26980 = 2² × 5¹ × 19¹ × 71¹

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 26980

List of positive integer factors of 26980 that divides 26980 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 71, 76, 95, 142, 190, 284, 355, 380, 710, 1349, 1420, 2698, 5396, 6745, 13490

Step-4: Factors of 26995

List of positive integer factors of 26995 that divides 26980 without a remainder.

1, 5, 5399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26980 and 26995. The biggest common factor number is the GCF number.
So the greatest common factor 26980 and 26995 is 5.

Also check out the Least Common Multiple of 26980 and 26995