What is the Greatest Common Factor of 45862 and 45879?

Greatest common factor (GCF) of 45862 and 45879 is 1.

GCF(45862,45879) = 1

We will now calculate the prime factors of 45862 and 45879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45862 and 45879.

How to find the GCF of 45862 and 45879?

We will first find the prime factorization of 45862 and 45879. After we will calculate the factors of 45862 and 45879 and find the biggest common factor number .

Step-1: Prime Factorization of 45862

Prime factors of 45862 are 2, 23, 997. Prime factorization of 45862 in exponential form is:

45862 = 2¹ × 23¹ × 997¹

Step-2: Prime Factorization of 45879

Prime factors of 45879 are 3, 41, 373. Prime factorization of 45879 in exponential form is:

45879 = 3¹ × 41¹ × 373¹

Step-3: Factors of 45862

List of positive integer factors of 45862 that divides 45862 without a remainder.

1, 2, 23, 46, 997, 1994, 22931

Step-4: Factors of 45879

List of positive integer factors of 45879 that divides 45862 without a remainder.

1, 3, 41, 123, 373, 1119, 15293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45862 and 45879. The biggest common factor number is the GCF number.
So the greatest common factor 45862 and 45879 is 1.

Also check out the Least Common Multiple of 45862 and 45879