What is the Greatest Common Factor of 26235 and 26250?

Greatest common factor (GCF) of 26235 and 26250 is 15.

GCF(26235,26250) = 15

We will now calculate the prime factors of 26235 and 26250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26235 and 26250.

How to find the GCF of 26235 and 26250?

We will first find the prime factorization of 26235 and 26250. After we will calculate the factors of 26235 and 26250 and find the biggest common factor number .

Step-1: Prime Factorization of 26235

Prime factors of 26235 are 3, 5, 11, 53. Prime factorization of 26235 in exponential form is:

26235 = 3² × 5¹ × 11¹ × 53¹

Step-2: 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-3: Factors of 26235

List of positive integer factors of 26235 that divides 26235 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 53, 55, 99, 159, 165, 265, 477, 495, 583, 795, 1749, 2385, 2915, 5247, 8745

Step-4: Factors of 26250

List of positive integer factors of 26250 that divides 26235 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26235 and 26250. The biggest common factor number is the GCF number.
So the greatest common factor 26235 and 26250 is 15.

Also check out the Least Common Multiple of 26235 and 26250