What is the Greatest Common Factor of 26100 and 26120?

Greatest common factor (GCF) of 26100 and 26120 is 20.

GCF(26100,26120) = 20

We will now calculate the prime factors of 26100 and 26120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26100 and 26120.

How to find the GCF of 26100 and 26120?

We will first find the prime factorization of 26100 and 26120. After we will calculate the factors of 26100 and 26120 and find the biggest common factor number .

Step-1: Prime Factorization of 26100

Prime factors of 26100 are 2, 3, 5, 29. Prime factorization of 26100 in exponential form is:

26100 = 2² × 3² × 5² × 29¹

Step-2: Prime Factorization of 26120

Prime factors of 26120 are 2, 5, 653. Prime factorization of 26120 in exponential form is:

26120 = 2³ × 5¹ × 653¹

Step-3: Factors of 26100

List of positive integer factors of 26100 that divides 26100 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 29, 30, 36, 45, 50, 58, 60, 75, 87, 90, 100, 116, 145, 150, 174, 180, 225, 261, 290, 300, 348, 435, 450, 522, 580, 725, 870, 900, 1044, 1305, 1450, 1740, 2175, 2610, 2900, 4350, 5220, 6525, 8700, 13050

Step-4: Factors of 26120

List of positive integer factors of 26120 that divides 26100 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 653, 1306, 2612, 3265, 5224, 6530, 13060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26100 and 26120. The biggest common factor number is the GCF number.
So the greatest common factor 26100 and 26120 is 20.

Also check out the Least Common Multiple of 26100 and 26120