What is the Greatest Common Factor of 45994 and 46014?

Greatest common factor (GCF) of 45994 and 46014 is 2.

GCF(45994,46014) = 2

We will now calculate the prime factors of 45994 and 46014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45994 and 46014.

How to find the GCF of 45994 and 46014?

We will first find the prime factorization of 45994 and 46014. After we will calculate the factors of 45994 and 46014 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 46014

Prime factors of 46014 are 2, 3, 7669. Prime factorization of 46014 in exponential form is:

46014 = 2¹ × 3¹ × 7669¹

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 46014

List of positive integer factors of 46014 that divides 45994 without a remainder.

1, 2, 3, 6, 7669, 15338, 23007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45994 and 46014. The biggest common factor number is the GCF number.
So the greatest common factor 45994 and 46014 is 2.

Also check out the Least Common Multiple of 45994 and 46014