What is the Greatest Common Factor of 45976 and 45982?

Greatest common factor (GCF) of 45976 and 45982 is 2.

GCF(45976,45982) = 2

We will now calculate the prime factors of 45976 and 45982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45976 and 45982.

How to find the GCF of 45976 and 45982?

We will first find the prime factorization of 45976 and 45982. After we will calculate the factors of 45976 and 45982 and find the biggest common factor number .

Step-1: Prime Factorization of 45976

Prime factors of 45976 are 2, 7, 821. Prime factorization of 45976 in exponential form is:

45976 = 2³ × 7¹ × 821¹

Step-2: 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-3: Factors of 45976

List of positive integer factors of 45976 that divides 45976 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 821, 1642, 3284, 5747, 6568, 11494, 22988

Step-4: Factors of 45982

List of positive integer factors of 45982 that divides 45976 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45976 and 45982. The biggest common factor number is the GCF number.
So the greatest common factor 45976 and 45982 is 2.

Also check out the Least Common Multiple of 45976 and 45982