What is the Greatest Common Factor of 26250 and 26266?

Greatest common factor (GCF) of 26250 and 26266 is 2.

GCF(26250,26266) = 2

We will now calculate the prime factors of 26250 and 26266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26250 and 26266.

How to find the GCF of 26250 and 26266?

We will first find the prime factorization of 26250 and 26266. After we will calculate the factors of 26250 and 26266 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 26266

Prime factors of 26266 are 2, 23, 571. Prime factorization of 26266 in exponential form is:

26266 = 2¹ × 23¹ × 571¹

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 26266

List of positive integer factors of 26266 that divides 26250 without a remainder.

1, 2, 23, 46, 571, 1142, 13133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26250 and 26266. The biggest common factor number is the GCF number.
So the greatest common factor 26250 and 26266 is 2.

Also check out the Least Common Multiple of 26250 and 26266