What is the Greatest Common Factor of 72863 and 72877?

Greatest common factor (GCF) of 72863 and 72877 is 7.

GCF(72863,72877) = 7

We will now calculate the prime factors of 72863 and 72877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72863 and 72877.

How to find the GCF of 72863 and 72877?

We will first find the prime factorization of 72863 and 72877. After we will calculate the factors of 72863 and 72877 and find the biggest common factor number .

Step-1: Prime Factorization of 72863

Prime factors of 72863 are 7, 1487. Prime factorization of 72863 in exponential form is:

72863 = 7² × 1487¹

Step-2: Prime Factorization of 72877

Prime factors of 72877 are 7, 29, 359. Prime factorization of 72877 in exponential form is:

72877 = 7¹ × 29¹ × 359¹

Step-3: Factors of 72863

List of positive integer factors of 72863 that divides 72863 without a remainder.

1, 7, 49, 1487, 10409

Step-4: Factors of 72877

List of positive integer factors of 72877 that divides 72863 without a remainder.

1, 7, 29, 203, 359, 2513, 10411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72863 and 72877. The biggest common factor number is the GCF number.
So the greatest common factor 72863 and 72877 is 7.

Also check out the Least Common Multiple of 72863 and 72877