What is the Greatest Common Factor of 72110 and 72128?

Greatest common factor (GCF) of 72110 and 72128 is 2.

GCF(72110,72128) = 2

We will now calculate the prime factors of 72110 and 72128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72110 and 72128.

How to find the GCF of 72110 and 72128?

We will first find the prime factorization of 72110 and 72128. After we will calculate the factors of 72110 and 72128 and find the biggest common factor number .

Step-1: Prime Factorization of 72110

Prime factors of 72110 are 2, 5, 7211. Prime factorization of 72110 in exponential form is:

72110 = 2¹ × 5¹ × 7211¹

Step-2: 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-3: Factors of 72110

List of positive integer factors of 72110 that divides 72110 without a remainder.

1, 2, 5, 10, 7211, 14422, 36055

Step-4: Factors of 72128

List of positive integer factors of 72128 that divides 72110 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72110 and 72128. The biggest common factor number is the GCF number.
So the greatest common factor 72110 and 72128 is 2.

Also check out the Least Common Multiple of 72110 and 72128