What is the Greatest Common Factor of 45960 and 45980?

Greatest common factor (GCF) of 45960 and 45980 is 20.

GCF(45960,45980) = 20

We will now calculate the prime factors of 45960 and 45980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45960 and 45980.

How to find the GCF of 45960 and 45980?

We will first find the prime factorization of 45960 and 45980. After we will calculate the factors of 45960 and 45980 and find the biggest common factor number .

Step-1: Prime Factorization of 45960

Prime factors of 45960 are 2, 3, 5, 383. Prime factorization of 45960 in exponential form is:

45960 = 2³ × 3¹ × 5¹ × 383¹

Step-2: Prime Factorization of 45980

Prime factors of 45980 are 2, 5, 11, 19. Prime factorization of 45980 in exponential form is:

45980 = 2² × 5¹ × 11² × 19¹

Step-3: Factors of 45960

List of positive integer factors of 45960 that divides 45960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 383, 766, 1149, 1532, 1915, 2298, 3064, 3830, 4596, 5745, 7660, 9192, 11490, 15320, 22980

Step-4: Factors of 45980

List of positive integer factors of 45980 that divides 45960 without a remainder.

1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 121, 190, 209, 220, 242, 380, 418, 484, 605, 836, 1045, 1210, 2090, 2299, 2420, 4180, 4598, 9196, 11495, 22990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45960 and 45980. The biggest common factor number is the GCF number.
So the greatest common factor 45960 and 45980 is 20.

Also check out the Least Common Multiple of 45960 and 45980