What is the Greatest Common Factor of 72512 and 72529?

Greatest common factor (GCF) of 72512 and 72529 is 1.

GCF(72512,72529) = 1

We will now calculate the prime factors of 72512 and 72529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72512 and 72529.

How to find the GCF of 72512 and 72529?

We will first find the prime factorization of 72512 and 72529. After we will calculate the factors of 72512 and 72529 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72529

Prime factors of 72529 are 29, 41, 61. Prime factorization of 72529 in exponential form is:

72529 = 29¹ × 41¹ × 61¹

Step-3: Factors of 72512

List of positive integer factors of 72512 that divides 72512 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

Step-4: Factors of 72529

List of positive integer factors of 72529 that divides 72512 without a remainder.

1, 29, 41, 61, 1189, 1769, 2501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72512 and 72529. The biggest common factor number is the GCF number.
So the greatest common factor 72512 and 72529 is 1.

Also check out the Least Common Multiple of 72512 and 72529