What is the Greatest Common Factor of 72560 and 72568?

Greatest common factor (GCF) of 72560 and 72568 is 8.

GCF(72560,72568) = 8

We will now calculate the prime factors of 72560 and 72568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72560 and 72568.

How to find the GCF of 72560 and 72568?

We will first find the prime factorization of 72560 and 72568. After we will calculate the factors of 72560 and 72568 and find the biggest common factor number .

Step-1: Prime Factorization of 72560

Prime factors of 72560 are 2, 5, 907. Prime factorization of 72560 in exponential form is:

72560 = 2⁴ × 5¹ × 907¹

Step-2: Prime Factorization of 72568

Prime factors of 72568 are 2, 47, 193. Prime factorization of 72568 in exponential form is:

72568 = 2³ × 47¹ × 193¹

Step-3: Factors of 72560

List of positive integer factors of 72560 that divides 72560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 907, 1814, 3628, 4535, 7256, 9070, 14512, 18140, 36280

Step-4: Factors of 72568

List of positive integer factors of 72568 that divides 72560 without a remainder.

1, 2, 4, 8, 47, 94, 188, 193, 376, 386, 772, 1544, 9071, 18142, 36284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72560 and 72568. The biggest common factor number is the GCF number.
So the greatest common factor 72560 and 72568 is 8.

Also check out the Least Common Multiple of 72560 and 72568