What is the Greatest Common Factor of 45996 and 46005?

Greatest common factor (GCF) of 45996 and 46005 is 3.

GCF(45996,46005) = 3

We will now calculate the prime factors of 45996 and 46005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45996 and 46005.

How to find the GCF of 45996 and 46005?

We will first find the prime factorization of 45996 and 46005. After we will calculate the factors of 45996 and 46005 and find the biggest common factor number .

Step-1: Prime Factorization of 45996

Prime factors of 45996 are 2, 3, 3833. Prime factorization of 45996 in exponential form is:

45996 = 2² × 3¹ × 3833¹

Step-2: Prime Factorization of 46005

Prime factors of 46005 are 3, 5, 3067. Prime factorization of 46005 in exponential form is:

46005 = 3¹ × 5¹ × 3067¹

Step-3: Factors of 45996

List of positive integer factors of 45996 that divides 45996 without a remainder.

1, 2, 3, 4, 6, 12, 3833, 7666, 11499, 15332, 22998

Step-4: Factors of 46005

List of positive integer factors of 46005 that divides 45996 without a remainder.

1, 3, 5, 15, 3067, 9201, 15335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45996 and 46005. The biggest common factor number is the GCF number.
So the greatest common factor 45996 and 46005 is 3.

Also check out the Least Common Multiple of 45996 and 46005