What is the Greatest Common Factor of 26960 and 26970?

Greatest common factor (GCF) of 26960 and 26970 is 10.

GCF(26960,26970) = 10

We will now calculate the prime factors of 26960 and 26970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26960 and 26970.

How to find the GCF of 26960 and 26970?

We will first find the prime factorization of 26960 and 26970. After we will calculate the factors of 26960 and 26970 and find the biggest common factor number .

Step-1: Prime Factorization of 26960

Prime factors of 26960 are 2, 5, 337. Prime factorization of 26960 in exponential form is:

26960 = 2⁴ × 5¹ × 337¹

Step-2: Prime Factorization of 26970

Prime factors of 26970 are 2, 3, 5, 29, 31. Prime factorization of 26970 in exponential form is:

26970 = 2¹ × 3¹ × 5¹ × 29¹ × 31¹

Step-3: Factors of 26960

List of positive integer factors of 26960 that divides 26960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 337, 674, 1348, 1685, 2696, 3370, 5392, 6740, 13480

Step-4: Factors of 26970

List of positive integer factors of 26970 that divides 26960 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 31, 58, 62, 87, 93, 145, 155, 174, 186, 290, 310, 435, 465, 870, 899, 930, 1798, 2697, 4495, 5394, 8990, 13485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26960 and 26970. The biggest common factor number is the GCF number.
So the greatest common factor 26960 and 26970 is 10.

Also check out the Least Common Multiple of 26960 and 26970