What is the Greatest Common Factor of 45945 and 45960?

Greatest common factor (GCF) of 45945 and 45960 is 15.

GCF(45945,45960) = 15

We will now calculate the prime factors of 45945 and 45960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45945 and 45960.

How to find the GCF of 45945 and 45960?

We will first find the prime factorization of 45945 and 45960. After we will calculate the factors of 45945 and 45960 and find the biggest common factor number .

Step-1: Prime Factorization of 45945

Prime factors of 45945 are 3, 5, 1021. Prime factorization of 45945 in exponential form is:

45945 = 3² × 5¹ × 1021¹

Step-2: 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-3: Factors of 45945

List of positive integer factors of 45945 that divides 45945 without a remainder.

1, 3, 5, 9, 15, 45, 1021, 3063, 5105, 9189, 15315

Step-4: Factors of 45960

List of positive integer factors of 45960 that divides 45945 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45945 and 45960. The biggest common factor number is the GCF number.
So the greatest common factor 45945 and 45960 is 15.

Also check out the Least Common Multiple of 45945 and 45960