What is the Greatest Common Factor of 72982 and 72995?

Greatest common factor (GCF) of 72982 and 72995 is 13.

GCF(72982,72995) = 13

We will now calculate the prime factors of 72982 and 72995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72982 and 72995.

How to find the GCF of 72982 and 72995?

We will first find the prime factorization of 72982 and 72995. After we will calculate the factors of 72982 and 72995 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 72995

Prime factors of 72995 are 5, 13, 1123. Prime factorization of 72995 in exponential form is:

72995 = 5¹ × 13¹ × 1123¹

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 72995

List of positive integer factors of 72995 that divides 72982 without a remainder.

1, 5, 13, 65, 1123, 5615, 14599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72982 and 72995. The biggest common factor number is the GCF number.
So the greatest common factor 72982 and 72995 is 13.

Also check out the Least Common Multiple of 72982 and 72995