What is the Greatest Common Factor of 72978 and 72994?

Greatest common factor (GCF) of 72978 and 72994 is 2.

GCF(72978,72994) = 2

We will now calculate the prime factors of 72978 and 72994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72978 and 72994.

How to find the GCF of 72978 and 72994?

We will first find the prime factorization of 72978 and 72994. After we will calculate the factors of 72978 and 72994 and find the biggest common factor number .

Step-1: Prime Factorization of 72978

Prime factors of 72978 are 2, 3, 12163. Prime factorization of 72978 in exponential form is:

72978 = 2¹ × 3¹ × 12163¹

Step-2: Prime Factorization of 72994

Prime factors of 72994 are 2, 36497. Prime factorization of 72994 in exponential form is:

72994 = 2¹ × 36497¹

Step-3: Factors of 72978

List of positive integer factors of 72978 that divides 72978 without a remainder.

1, 2, 3, 6, 12163, 24326, 36489

Step-4: Factors of 72994

List of positive integer factors of 72994 that divides 72978 without a remainder.

1, 2, 36497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72978 and 72994. The biggest common factor number is the GCF number.
So the greatest common factor 72978 and 72994 is 2.

Also check out the Least Common Multiple of 72978 and 72994