What is the Greatest Common Factor of 72546 and 72561?

Greatest common factor (GCF) of 72546 and 72561 is 3.

GCF(72546,72561) = 3

We will now calculate the prime factors of 72546 and 72561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72546 and 72561.

How to find the GCF of 72546 and 72561?

We will first find the prime factorization of 72546 and 72561. After we will calculate the factors of 72546 and 72561 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72561

Prime factors of 72561 are 3, 19, 67. Prime factorization of 72561 in exponential form is:

72561 = 3¹ × 19² × 67¹

Step-3: Factors of 72546

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

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

Step-4: Factors of 72561

List of positive integer factors of 72561 that divides 72546 without a remainder.

1, 3, 19, 57, 67, 201, 361, 1083, 1273, 3819, 24187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72546 and 72561. The biggest common factor number is the GCF number.
So the greatest common factor 72546 and 72561 is 3.

Also check out the Least Common Multiple of 72546 and 72561