What is the Greatest Common Factor of 45994 and 46007?

Greatest common factor (GCF) of 45994 and 46007 is 13.

GCF(45994,46007) = 13

We will now calculate the prime factors of 45994 and 46007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45994 and 46007.

How to find the GCF of 45994 and 46007?

We will first find the prime factorization of 45994 and 46007. After we will calculate the factors of 45994 and 46007 and find the biggest common factor number .

Step-1: Prime Factorization of 45994

Prime factors of 45994 are 2, 13, 29, 61. Prime factorization of 45994 in exponential form is:

45994 = 2¹ × 13¹ × 29¹ × 61¹

Step-2: Prime Factorization of 46007

Prime factors of 46007 are 13, 3539. Prime factorization of 46007 in exponential form is:

46007 = 13¹ × 3539¹

Step-3: Factors of 45994

List of positive integer factors of 45994 that divides 45994 without a remainder.

1, 2, 13, 26, 29, 58, 61, 122, 377, 754, 793, 1586, 1769, 3538, 22997

Step-4: Factors of 46007

List of positive integer factors of 46007 that divides 45994 without a remainder.

1, 13, 3539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45994 and 46007. The biggest common factor number is the GCF number.
So the greatest common factor 45994 and 46007 is 13.

Also check out the Least Common Multiple of 45994 and 46007