What is the Greatest Common Factor of 45982 and 45986?

Greatest common factor (GCF) of 45982 and 45986 is 2.

GCF(45982,45986) = 2

We will now calculate the prime factors of 45982 and 45986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45982 and 45986.

How to find the GCF of 45982 and 45986?

We will first find the prime factorization of 45982 and 45986. After we will calculate the factors of 45982 and 45986 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 45986

Prime factors of 45986 are 2, 22993. Prime factorization of 45986 in exponential form is:

45986 = 2¹ × 22993¹

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 45986

List of positive integer factors of 45986 that divides 45982 without a remainder.

1, 2, 22993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45982 and 45986. The biggest common factor number is the GCF number.
So the greatest common factor 45982 and 45986 is 2.

Also check out the Least Common Multiple of 45982 and 45986