What is the Greatest Common Factor of 45982 and 45996?

Greatest common factor (GCF) of 45982 and 45996 is 2.

GCF(45982,45996) = 2

We will now calculate the prime factors of 45982 and 45996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45982 and 45996.

How to find the GCF of 45982 and 45996?

We will first find the prime factorization of 45982 and 45996. After we will calculate the factors of 45982 and 45996 and find the biggest common factor number .

Step-1: Prime Factorization of 45982

Prime factors of 45982 are 2, 83, 277. Prime factorization of 45982 in exponential form is:

45982 = 2¹ × 83¹ × 277¹

Step-2: 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-3: Factors of 45982

List of positive integer factors of 45982 that divides 45982 without a remainder.

1, 2, 83, 166, 277, 554, 22991

Step-4: Factors of 45996

List of positive integer factors of 45996 that divides 45982 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45982 and 45996. The biggest common factor number is the GCF number.
So the greatest common factor 45982 and 45996 is 2.

Also check out the Least Common Multiple of 45982 and 45996