What is the Greatest Common Factor of 45858 and 45876?

Greatest common factor (GCF) of 45858 and 45876 is 6.

GCF(45858,45876) = 6

We will now calculate the prime factors of 45858 and 45876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45858 and 45876.

How to find the GCF of 45858 and 45876?

We will first find the prime factorization of 45858 and 45876. After we will calculate the factors of 45858 and 45876 and find the biggest common factor number .

Step-1: Prime Factorization of 45858

Prime factors of 45858 are 2, 3, 7643. Prime factorization of 45858 in exponential form is:

45858 = 2¹ × 3¹ × 7643¹

Step-2: Prime Factorization of 45876

Prime factors of 45876 are 2, 3, 3823. Prime factorization of 45876 in exponential form is:

45876 = 2² × 3¹ × 3823¹

Step-3: Factors of 45858

List of positive integer factors of 45858 that divides 45858 without a remainder.

1, 2, 3, 6, 7643, 15286, 22929

Step-4: Factors of 45876

List of positive integer factors of 45876 that divides 45858 without a remainder.

1, 2, 3, 4, 6, 12, 3823, 7646, 11469, 15292, 22938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45858 and 45876. The biggest common factor number is the GCF number.
So the greatest common factor 45858 and 45876 is 6.

Also check out the Least Common Multiple of 45858 and 45876