What is the Greatest Common Factor of 45720 and 45740?

Greatest common factor (GCF) of 45720 and 45740 is 20.

GCF(45720,45740) = 20

We will now calculate the prime factors of 45720 and 45740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45720 and 45740.

How to find the GCF of 45720 and 45740?

We will first find the prime factorization of 45720 and 45740. After we will calculate the factors of 45720 and 45740 and find the biggest common factor number .

Step-1: Prime Factorization of 45720

Prime factors of 45720 are 2, 3, 5, 127. Prime factorization of 45720 in exponential form is:

45720 = 2³ × 3² × 5¹ × 127¹

Step-2: Prime Factorization of 45740

Prime factors of 45740 are 2, 5, 2287. Prime factorization of 45740 in exponential form is:

45740 = 2² × 5¹ × 2287¹

Step-3: Factors of 45720

List of positive integer factors of 45720 that divides 45720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 127, 180, 254, 360, 381, 508, 635, 762, 1016, 1143, 1270, 1524, 1905, 2286, 2540, 3048, 3810, 4572, 5080, 5715, 7620, 9144, 11430, 15240, 22860

Step-4: Factors of 45740

List of positive integer factors of 45740 that divides 45720 without a remainder.

1, 2, 4, 5, 10, 20, 2287, 4574, 9148, 11435, 22870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45720 and 45740. The biggest common factor number is the GCF number.
So the greatest common factor 45720 and 45740 is 20.

Also check out the Least Common Multiple of 45720 and 45740