What is the Greatest Common Factor of 15200 and 15220?

Greatest common factor (GCF) of 15200 and 15220 is 20.

GCF(15200,15220) = 20

We will now calculate the prime factors of 15200 and 15220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15200 and 15220.

How to find the GCF of 15200 and 15220?

We will first find the prime factorization of 15200 and 15220. After we will calculate the factors of 15200 and 15220 and find the biggest common factor number .

Step-1: Prime Factorization of 15200

Prime factors of 15200 are 2, 5, 19. Prime factorization of 15200 in exponential form is:

15200 = 2⁵ × 5² × 19¹

Step-2: Prime Factorization of 15220

Prime factors of 15220 are 2, 5, 761. Prime factorization of 15220 in exponential form is:

15220 = 2² × 5¹ × 761¹

Step-3: Factors of 15200

List of positive integer factors of 15200 that divides 15200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 32, 38, 40, 50, 76, 80, 95, 100, 152, 160, 190, 200, 304, 380, 400, 475, 608, 760, 800, 950, 1520, 1900, 3040, 3800, 7600

Step-4: Factors of 15220

List of positive integer factors of 15220 that divides 15200 without a remainder.

1, 2, 4, 5, 10, 20, 761, 1522, 3044, 3805, 7610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15200 and 15220. The biggest common factor number is the GCF number.
So the greatest common factor 15200 and 15220 is 20.

Also check out the Least Common Multiple of 15200 and 15220