What is the Greatest Common Factor of 26970 and 26982?

Greatest common factor (GCF) of 26970 and 26982 is 6.

GCF(26970,26982) = 6

We will now calculate the prime factors of 26970 and 26982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26970 and 26982.

How to find the GCF of 26970 and 26982?

We will first find the prime factorization of 26970 and 26982. After we will calculate the factors of 26970 and 26982 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 26982

Prime factors of 26982 are 2, 3, 1499. Prime factorization of 26982 in exponential form is:

26982 = 2¹ × 3² × 1499¹

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 26982

List of positive integer factors of 26982 that divides 26970 without a remainder.

1, 2, 3, 6, 9, 18, 1499, 2998, 4497, 8994, 13491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26970 and 26982. The biggest common factor number is the GCF number.
So the greatest common factor 26970 and 26982 is 6.

Also check out the Least Common Multiple of 26970 and 26982