What is the Greatest Common Factor of 72975 and 72982?

Greatest common factor (GCF) of 72975 and 72982 is 7.

GCF(72975,72982) = 7

We will now calculate the prime factors of 72975 and 72982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72975 and 72982.

How to find the GCF of 72975 and 72982?

We will first find the prime factorization of 72975 and 72982. After we will calculate the factors of 72975 and 72982 and find the biggest common factor number .

Step-1: Prime Factorization of 72975

Prime factors of 72975 are 3, 5, 7, 139. Prime factorization of 72975 in exponential form is:

72975 = 3¹ × 5² × 7¹ × 139¹

Step-2: 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-3: Factors of 72975

List of positive integer factors of 72975 that divides 72975 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 139, 175, 417, 525, 695, 973, 2085, 2919, 3475, 4865, 10425, 14595, 24325

Step-4: Factors of 72982

List of positive integer factors of 72982 that divides 72975 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72975 and 72982. The biggest common factor number is the GCF number.
So the greatest common factor 72975 and 72982 is 7.

Also check out the Least Common Multiple of 72975 and 72982