What is the Greatest Common Factor of 45992 and 46006?

Greatest common factor (GCF) of 45992 and 46006 is 2.

GCF(45992,46006) = 2

We will now calculate the prime factors of 45992 and 46006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45992 and 46006.

How to find the GCF of 45992 and 46006?

We will first find the prime factorization of 45992 and 46006. After we will calculate the factors of 45992 and 46006 and find the biggest common factor number .

Step-1: Prime Factorization of 45992

Prime factors of 45992 are 2, 5749. Prime factorization of 45992 in exponential form is:

45992 = 2³ × 5749¹

Step-2: Prime Factorization of 46006

Prime factors of 46006 are 2, 23003. Prime factorization of 46006 in exponential form is:

46006 = 2¹ × 23003¹

Step-3: Factors of 45992

List of positive integer factors of 45992 that divides 45992 without a remainder.

1, 2, 4, 8, 5749, 11498, 22996

Step-4: Factors of 46006

List of positive integer factors of 46006 that divides 45992 without a remainder.

1, 2, 23003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45992 and 46006. The biggest common factor number is the GCF number.
So the greatest common factor 45992 and 46006 is 2.

Also check out the Least Common Multiple of 45992 and 46006