What is the Greatest Common Factor of 26240 and 26250?

Greatest common factor (GCF) of 26240 and 26250 is 10.

GCF(26240,26250) = 10

We will now calculate the prime factors of 26240 and 26250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26240 and 26250.

How to find the GCF of 26240 and 26250?

We will first find the prime factorization of 26240 and 26250. After we will calculate the factors of 26240 and 26250 and find the biggest common factor number .

Step-1: Prime Factorization of 26240

Prime factors of 26240 are 2, 5, 41. Prime factorization of 26240 in exponential form is:

26240 = 2⁷ × 5¹ × 41¹

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 26240

List of positive integer factors of 26240 that divides 26240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 64, 80, 82, 128, 160, 164, 205, 320, 328, 410, 640, 656, 820, 1312, 1640, 2624, 3280, 5248, 6560, 13120

Step-4: Factors of 26250

List of positive integer factors of 26250 that divides 26240 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 26240 and 26250. The biggest common factor number is the GCF number.
So the greatest common factor 26240 and 26250 is 10.

Also check out the Least Common Multiple of 26240 and 26250