What is the Greatest Common Factor of 26970 and 26984?

Greatest common factor (GCF) of 26970 and 26984 is 2.

GCF(26970,26984) = 2

We will now calculate the prime factors of 26970 and 26984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26970 and 26984.

How to find the GCF of 26970 and 26984?

We will first find the prime factorization of 26970 and 26984. After we will calculate the factors of 26970 and 26984 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 26984

Prime factors of 26984 are 2, 3373. Prime factorization of 26984 in exponential form is:

26984 = 2³ × 3373¹

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 26984

List of positive integer factors of 26984 that divides 26970 without a remainder.

1, 2, 4, 8, 3373, 6746, 13492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26970 and 26984. The biggest common factor number is the GCF number.
So the greatest common factor 26970 and 26984 is 2.

Also check out the Least Common Multiple of 26970 and 26984