What is the Greatest Common Factor of 26250 and 26264?

Greatest common factor (GCF) of 26250 and 26264 is 14.

GCF(26250,26264) = 14

We will now calculate the prime factors of 26250 and 26264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26250 and 26264.

How to find the GCF of 26250 and 26264?

We will first find the prime factorization of 26250 and 26264. After we will calculate the factors of 26250 and 26264 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 26264

Prime factors of 26264 are 2, 7, 67. Prime factorization of 26264 in exponential form is:

26264 = 2³ × 7² × 67¹

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 26264

List of positive integer factors of 26264 that divides 26250 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 67, 98, 134, 196, 268, 392, 469, 536, 938, 1876, 3283, 3752, 6566, 13132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26250 and 26264. The biggest common factor number is the GCF number.
So the greatest common factor 26250 and 26264 is 14.

Also check out the Least Common Multiple of 26250 and 26264