What is the Greatest Common Factor of 45876 and 45885?

Greatest common factor (GCF) of 45876 and 45885 is 3.

GCF(45876,45885) = 3

We will now calculate the prime factors of 45876 and 45885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45876 and 45885.

How to find the GCF of 45876 and 45885?

We will first find the prime factorization of 45876 and 45885. After we will calculate the factors of 45876 and 45885 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45885

Prime factors of 45885 are 3, 5, 7, 19, 23. Prime factorization of 45885 in exponential form is:

45885 = 3¹ × 5¹ × 7¹ × 19¹ × 23¹

Step-3: Factors of 45876

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

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

Step-4: Factors of 45885

List of positive integer factors of 45885 that divides 45876 without a remainder.

1, 3, 5, 7, 15, 19, 21, 23, 35, 57, 69, 95, 105, 115, 133, 161, 285, 345, 399, 437, 483, 665, 805, 1311, 1995, 2185, 2415, 3059, 6555, 9177, 15295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45876 and 45885. The biggest common factor number is the GCF number.
So the greatest common factor 45876 and 45885 is 3.

Also check out the Least Common Multiple of 45876 and 45885