What is the Greatest Common Factor of 72128 and 72136?

Greatest common factor (GCF) of 72128 and 72136 is 8.

GCF(72128,72136) = 8

We will now calculate the prime factors of 72128 and 72136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72128 and 72136.

How to find the GCF of 72128 and 72136?

We will first find the prime factorization of 72128 and 72136. After we will calculate the factors of 72128 and 72136 and find the biggest common factor number .

Step-1: Prime Factorization of 72128

Prime factors of 72128 are 2, 7, 23. Prime factorization of 72128 in exponential form is:

72128 = 2⁶ × 7² × 23¹

Step-2: Prime Factorization of 72136

Prime factors of 72136 are 2, 71, 127. Prime factorization of 72136 in exponential form is:

72136 = 2³ × 71¹ × 127¹

Step-3: Factors of 72128

List of positive integer factors of 72128 that divides 72128 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 49, 56, 64, 92, 98, 112, 161, 184, 196, 224, 322, 368, 392, 448, 644, 736, 784, 1127, 1288, 1472, 1568, 2254, 2576, 3136, 4508, 5152, 9016, 10304, 18032, 36064

Step-4: Factors of 72136

List of positive integer factors of 72136 that divides 72128 without a remainder.

1, 2, 4, 8, 71, 127, 142, 254, 284, 508, 568, 1016, 9017, 18034, 36068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72128 and 72136. The biggest common factor number is the GCF number.
So the greatest common factor 72128 and 72136 is 8.

Also check out the Least Common Multiple of 72128 and 72136