What is the Greatest Common Factor of 72988 and 72994?

Greatest common factor (GCF) of 72988 and 72994 is 2.

GCF(72988,72994) = 2

We will now calculate the prime factors of 72988 and 72994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72988 and 72994.

How to find the GCF of 72988 and 72994?

We will first find the prime factorization of 72988 and 72994. After we will calculate the factors of 72988 and 72994 and find the biggest common factor number .

Step-1: Prime Factorization of 72988

Prime factors of 72988 are 2, 71, 257. Prime factorization of 72988 in exponential form is:

72988 = 2² × 71¹ × 257¹

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 72988

List of positive integer factors of 72988 that divides 72988 without a remainder.

1, 2, 4, 71, 142, 257, 284, 514, 1028, 18247, 36494

Step-4: Factors of 72994

List of positive integer factors of 72994 that divides 72988 without a remainder.

1, 2, 36497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72988 and 72994. The biggest common factor number is the GCF number.
So the greatest common factor 72988 and 72994 is 2.

Also check out the Least Common Multiple of 72988 and 72994