What is the Greatest Common Factor of 26570 and 26575?

Greatest common factor (GCF) of 26570 and 26575 is 5.

GCF(26570,26575) = 5

We will now calculate the prime factors of 26570 and 26575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26570 and 26575.

How to find the GCF of 26570 and 26575?

We will first find the prime factorization of 26570 and 26575. After we will calculate the factors of 26570 and 26575 and find the biggest common factor number .

Step-1: Prime Factorization of 26570

Prime factors of 26570 are 2, 5, 2657. Prime factorization of 26570 in exponential form is:

26570 = 2¹ × 5¹ × 2657¹

Step-2: Prime Factorization of 26575

Prime factors of 26575 are 5, 1063. Prime factorization of 26575 in exponential form is:

26575 = 5² × 1063¹

Step-3: Factors of 26570

List of positive integer factors of 26570 that divides 26570 without a remainder.

1, 2, 5, 10, 2657, 5314, 13285

Step-4: Factors of 26575

List of positive integer factors of 26575 that divides 26570 without a remainder.

1, 5, 25, 1063, 5315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26570 and 26575. The biggest common factor number is the GCF number.
So the greatest common factor 26570 and 26575 is 5.

Also check out the Least Common Multiple of 26570 and 26575