What is the Greatest Common Factor of 72982 and 72988?

Greatest common factor (GCF) of 72982 and 72988 is 2.

GCF(72982,72988) = 2

We will now calculate the prime factors of 72982 and 72988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72982 and 72988.

How to find the GCF of 72982 and 72988?

We will first find the prime factorization of 72982 and 72988. After we will calculate the factors of 72982 and 72988 and find the biggest common factor number .

Step-1: Prime Factorization of 72982

Prime factors of 72982 are 2, 7, 13, 401. Prime factorization of 72982 in exponential form is:

72982 = 2¹ × 7¹ × 13¹ × 401¹

Step-2: 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-3: Factors of 72982

List of positive integer factors of 72982 that divides 72982 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 401, 802, 2807, 5213, 5614, 10426, 36491

Step-4: Factors of 72988

List of positive integer factors of 72988 that divides 72982 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72982 and 72988. The biggest common factor number is the GCF number.
So the greatest common factor 72982 and 72988 is 2.

Also check out the Least Common Multiple of 72982 and 72988