What is the Greatest Common Factor of 26870 and 26875?

Greatest common factor (GCF) of 26870 and 26875 is 5.

GCF(26870,26875) = 5

We will now calculate the prime factors of 26870 and 26875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26870 and 26875.

How to find the GCF of 26870 and 26875?

We will first find the prime factorization of 26870 and 26875. After we will calculate the factors of 26870 and 26875 and find the biggest common factor number .

Step-1: Prime Factorization of 26870

Prime factors of 26870 are 2, 5, 2687. Prime factorization of 26870 in exponential form is:

26870 = 2¹ × 5¹ × 2687¹

Step-2: Prime Factorization of 26875

Prime factors of 26875 are 5, 43. Prime factorization of 26875 in exponential form is:

26875 = 5⁴ × 43¹

Step-3: Factors of 26870

List of positive integer factors of 26870 that divides 26870 without a remainder.

1, 2, 5, 10, 2687, 5374, 13435

Step-4: Factors of 26875

List of positive integer factors of 26875 that divides 26870 without a remainder.

1, 5, 25, 43, 125, 215, 625, 1075, 5375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26870 and 26875. The biggest common factor number is the GCF number.
So the greatest common factor 26870 and 26875 is 5.

Also check out the Least Common Multiple of 26870 and 26875