What is the Greatest Common Factor of 26970 and 26985?

Greatest common factor (GCF) of 26970 and 26985 is 15.

GCF(26970,26985) = 15

We will now calculate the prime factors of 26970 and 26985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26970 and 26985.

How to find the GCF of 26970 and 26985?

We will first find the prime factorization of 26970 and 26985. After we will calculate the factors of 26970 and 26985 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 26985

Prime factors of 26985 are 3, 5, 7, 257. Prime factorization of 26985 in exponential form is:

26985 = 3¹ × 5¹ × 7¹ × 257¹

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 26985

List of positive integer factors of 26985 that divides 26970 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 257, 771, 1285, 1799, 3855, 5397, 8995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26970 and 26985. The biggest common factor number is the GCF number.
So the greatest common factor 26970 and 26985 is 15.

Also check out the Least Common Multiple of 26970 and 26985