What is the Greatest Common Factor of 26980 and 26999?

Greatest common factor (GCF) of 26980 and 26999 is 19.

GCF(26980,26999) = 19

We will now calculate the prime factors of 26980 and 26999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26980 and 26999.

How to find the GCF of 26980 and 26999?

We will first find the prime factorization of 26980 and 26999. After we will calculate the factors of 26980 and 26999 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 26999

Prime factors of 26999 are 7, 19, 29. Prime factorization of 26999 in exponential form is:

26999 = 7² × 19¹ × 29¹

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 26999

List of positive integer factors of 26999 that divides 26980 without a remainder.

1, 7, 19, 29, 49, 133, 203, 551, 931, 1421, 3857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26980 and 26999. The biggest common factor number is the GCF number.
So the greatest common factor 26980 and 26999 is 19.

Also check out the Least Common Multiple of 26980 and 26999