What is the Greatest Common Factor of 26250 and 26270?

Greatest common factor (GCF) of 26250 and 26270 is 10.

GCF(26250,26270) = 10

We will now calculate the prime factors of 26250 and 26270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26250 and 26270.

How to find the GCF of 26250 and 26270?

We will first find the prime factorization of 26250 and 26270. After we will calculate the factors of 26250 and 26270 and find the biggest common factor number .

Step-1: Prime Factorization of 26250

Prime factors of 26250 are 2, 3, 5, 7. Prime factorization of 26250 in exponential form is:

26250 = 2¹ × 3¹ × 5⁴ × 7¹

Step-2: 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-3: Factors of 26250

List of positive integer factors of 26250 that divides 26250 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 625, 750, 875, 1050, 1250, 1750, 1875, 2625, 3750, 4375, 5250, 8750, 13125

Step-4: Factors of 26270

List of positive integer factors of 26270 that divides 26250 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26250 and 26270. The biggest common factor number is the GCF number.
So the greatest common factor 26250 and 26270 is 10.

Also check out the Least Common Multiple of 26250 and 26270