What is the Greatest Common Factor of 26270 and 26285?

Greatest common factor (GCF) of 26270 and 26285 is 5.

GCF(26270,26285) = 5

We will now calculate the prime factors of 26270 and 26285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26270 and 26285.

How to find the GCF of 26270 and 26285?

We will first find the prime factorization of 26270 and 26285. After we will calculate the factors of 26270 and 26285 and find the biggest common factor number .

Step-1: Prime Factorization of 26270

Prime factors of 26270 are 2, 5, 37, 71. Prime factorization of 26270 in exponential form is:

26270 = 2¹ × 5¹ × 37¹ × 71¹

Step-2: Prime Factorization of 26285

Prime factors of 26285 are 5, 7, 751. Prime factorization of 26285 in exponential form is:

26285 = 5¹ × 7¹ × 751¹

Step-3: Factors of 26270

List of positive integer factors of 26270 that divides 26270 without a remainder.

1, 2, 5, 10, 37, 71, 74, 142, 185, 355, 370, 710, 2627, 5254, 13135

Step-4: Factors of 26285

List of positive integer factors of 26285 that divides 26270 without a remainder.

1, 5, 7, 35, 751, 3755, 5257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26270 and 26285. The biggest common factor number is the GCF number.
So the greatest common factor 26270 and 26285 is 5.

Also check out the Least Common Multiple of 26270 and 26285