What is the Greatest Common Factor of 72128 and 72141?

Greatest common factor (GCF) of 72128 and 72141 is 1.

GCF(72128,72141) = 1

We will now calculate the prime factors of 72128 and 72141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72128 and 72141.

How to find the GCF of 72128 and 72141?

We will first find the prime factorization of 72128 and 72141. After we will calculate the factors of 72128 and 72141 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 72141

Prime factors of 72141 are 3, 139, 173. Prime factorization of 72141 in exponential form is:

72141 = 3¹ × 139¹ × 173¹

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 72141

List of positive integer factors of 72141 that divides 72128 without a remainder.

1, 3, 139, 173, 417, 519, 24047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72128 and 72141. The biggest common factor number is the GCF number.
So the greatest common factor 72128 and 72141 is 1.

Also check out the Least Common Multiple of 72128 and 72141