What is the Greatest Common Factor of 72539 and 72546?

Greatest common factor (GCF) of 72539 and 72546 is 1.

GCF(72539,72546) = 1

We will now calculate the prime factors of 72539 and 72546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72539 and 72546.

How to find the GCF of 72539 and 72546?

We will first find the prime factorization of 72539 and 72546. After we will calculate the factors of 72539 and 72546 and find the biggest common factor number .

Step-1: Prime Factorization of 72539

Prime factors of 72539 are 17, 251. Prime factorization of 72539 in exponential form is:

72539 = 17² × 251¹

Step-2: Prime Factorization of 72546

Prime factors of 72546 are 2, 3, 107, 113. Prime factorization of 72546 in exponential form is:

72546 = 2¹ × 3¹ × 107¹ × 113¹

Step-3: Factors of 72539

List of positive integer factors of 72539 that divides 72539 without a remainder.

1, 17, 251, 289, 4267

Step-4: Factors of 72546

List of positive integer factors of 72546 that divides 72539 without a remainder.

1, 2, 3, 6, 107, 113, 214, 226, 321, 339, 642, 678, 12091, 24182, 36273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72539 and 72546. The biggest common factor number is the GCF number.
So the greatest common factor 72539 and 72546 is 1.

Also check out the Least Common Multiple of 72539 and 72546