What is the Greatest Common Factor of 26970 and 26978?

Greatest common factor (GCF) of 26970 and 26978 is 2.

GCF(26970,26978) = 2

We will now calculate the prime factors of 26970 and 26978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26970 and 26978.

How to find the GCF of 26970 and 26978?

We will first find the prime factorization of 26970 and 26978. After we will calculate the factors of 26970 and 26978 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26978

Prime factors of 26978 are 2, 7, 41, 47. Prime factorization of 26978 in exponential form is:

26978 = 2¹ × 7¹ × 41¹ × 47¹

Step-3: Factors of 26970

List of positive integer factors of 26970 that divides 26970 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

Step-4: Factors of 26978

List of positive integer factors of 26978 that divides 26970 without a remainder.

1, 2, 7, 14, 41, 47, 82, 94, 287, 329, 574, 658, 1927, 3854, 13489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26970 and 26978. The biggest common factor number is the GCF number.
So the greatest common factor 26970 and 26978 is 2.

Also check out the Least Common Multiple of 26970 and 26978