What is the Greatest Common Factor of 72508 and 72512?

Greatest common factor (GCF) of 72508 and 72512 is 4.

GCF(72508,72512) = 4

We will now calculate the prime factors of 72508 and 72512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72508 and 72512.

How to find the GCF of 72508 and 72512?

We will first find the prime factorization of 72508 and 72512. After we will calculate the factors of 72508 and 72512 and find the biggest common factor number .

Step-1: Prime Factorization of 72508

Prime factors of 72508 are 2, 18127. Prime factorization of 72508 in exponential form is:

72508 = 2² × 18127¹

Step-2: Prime Factorization of 72512

Prime factors of 72512 are 2, 11, 103. Prime factorization of 72512 in exponential form is:

72512 = 2⁶ × 11¹ × 103¹

Step-3: Factors of 72508

List of positive integer factors of 72508 that divides 72508 without a remainder.

1, 2, 4, 18127, 36254

Step-4: Factors of 72512

List of positive integer factors of 72512 that divides 72508 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 103, 176, 206, 352, 412, 704, 824, 1133, 1648, 2266, 3296, 4532, 6592, 9064, 18128, 36256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72508 and 72512. The biggest common factor number is the GCF number.
So the greatest common factor 72508 and 72512 is 4.

Also check out the Least Common Multiple of 72508 and 72512