What is the Greatest Common Factor of 26250 and 26257?

Greatest common factor (GCF) of 26250 and 26257 is 7.

GCF(26250,26257) = 7

We will now calculate the prime factors of 26250 and 26257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26250 and 26257.

How to find the GCF of 26250 and 26257?

We will first find the prime factorization of 26250 and 26257. After we will calculate the factors of 26250 and 26257 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 26257

Prime factors of 26257 are 7, 11, 31. Prime factorization of 26257 in exponential form is:

26257 = 7¹ × 11² × 31¹

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 26257

List of positive integer factors of 26257 that divides 26250 without a remainder.

1, 7, 11, 31, 77, 121, 217, 341, 847, 2387, 3751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26250 and 26257. The biggest common factor number is the GCF number.
So the greatest common factor 26250 and 26257 is 7.

Also check out the Least Common Multiple of 26250 and 26257