What is the Greatest Common Factor of 26270 and 26290?

Greatest common factor (GCF) of 26270 and 26290 is 10.

GCF(26270,26290) = 10

We will now calculate the prime factors of 26270 and 26290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26270 and 26290.

How to find the GCF of 26270 and 26290?

We will first find the prime factorization of 26270 and 26290. After we will calculate the factors of 26270 and 26290 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 26290

Prime factors of 26290 are 2, 5, 11, 239. Prime factorization of 26290 in exponential form is:

26290 = 2¹ × 5¹ × 11¹ × 239¹

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 26290

List of positive integer factors of 26290 that divides 26270 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 239, 478, 1195, 2390, 2629, 5258, 13145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26270 and 26290. The biggest common factor number is the GCF number.
So the greatest common factor 26270 and 26290 is 10.

Also check out the Least Common Multiple of 26270 and 26290