What is the Greatest Common Factor of 45949 and 45960?

Greatest common factor (GCF) of 45949 and 45960 is 1.

GCF(45949,45960) = 1

We will now calculate the prime factors of 45949 and 45960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45949 and 45960.

How to find the GCF of 45949 and 45960?

We will first find the prime factorization of 45949 and 45960. After we will calculate the factors of 45949 and 45960 and find the biggest common factor number .

Step-1: Prime Factorization of 45949

Prime factors of 45949 are 45949. Prime factorization of 45949 in exponential form is:

45949 = 45949¹

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 45949

List of positive integer factors of 45949 that divides 45949 without a remainder.

Step-4: Factors of 45960

List of positive integer factors of 45960 that divides 45949 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 45949 and 45960. The biggest common factor number is the GCF number.
So the greatest common factor 45949 and 45960 is 1.

Also check out the Least Common Multiple of 45949 and 45960