What is the Greatest Common Factor of 72128 and 72140?

Greatest common factor (GCF) of 72128 and 72140 is 4.

GCF(72128,72140) = 4

We will now calculate the prime factors of 72128 and 72140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72128 and 72140.

How to find the GCF of 72128 and 72140?

We will first find the prime factorization of 72128 and 72140. After we will calculate the factors of 72128 and 72140 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 72140

Prime factors of 72140 are 2, 5, 3607. Prime factorization of 72140 in exponential form is:

72140 = 2² × 5¹ × 3607¹

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 72140

List of positive integer factors of 72140 that divides 72128 without a remainder.

1, 2, 4, 5, 10, 20, 3607, 7214, 14428, 18035, 36070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72128 and 72140. The biggest common factor number is the GCF number.
So the greatest common factor 72128 and 72140 is 4.

Also check out the Least Common Multiple of 72128 and 72140