What is the Greatest Common Factor of 26350 and 26360?

Greatest common factor (GCF) of 26350 and 26360 is 10.

GCF(26350,26360) = 10

We will now calculate the prime factors of 26350 and 26360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26350 and 26360.

How to find the GCF of 26350 and 26360?

We will first find the prime factorization of 26350 and 26360. After we will calculate the factors of 26350 and 26360 and find the biggest common factor number .

Step-1: Prime Factorization of 26350

Prime factors of 26350 are 2, 5, 17, 31. Prime factorization of 26350 in exponential form is:

26350 = 2¹ × 5² × 17¹ × 31¹

Step-2: Prime Factorization of 26360

Prime factors of 26360 are 2, 5, 659. Prime factorization of 26360 in exponential form is:

26360 = 2³ × 5¹ × 659¹

Step-3: Factors of 26350

List of positive integer factors of 26350 that divides 26350 without a remainder.

1, 2, 5, 10, 17, 25, 31, 34, 50, 62, 85, 155, 170, 310, 425, 527, 775, 850, 1054, 1550, 2635, 5270, 13175

Step-4: Factors of 26360

List of positive integer factors of 26360 that divides 26350 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 659, 1318, 2636, 3295, 5272, 6590, 13180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26350 and 26360. The biggest common factor number is the GCF number.
So the greatest common factor 26350 and 26360 is 10.

Also check out the Least Common Multiple of 26350 and 26360