What is the Greatest Common Factor of 72546 and 72550?

Greatest common factor (GCF) of 72546 and 72550 is 2.

GCF(72546,72550) = 2

We will now calculate the prime factors of 72546 and 72550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72546 and 72550.

How to find the GCF of 72546 and 72550?

We will first find the prime factorization of 72546 and 72550. After we will calculate the factors of 72546 and 72550 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 72550

Prime factors of 72550 are 2, 5, 1451. Prime factorization of 72550 in exponential form is:

72550 = 2¹ × 5² × 1451¹

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 72550

List of positive integer factors of 72550 that divides 72546 without a remainder.

1, 2, 5, 10, 25, 50, 1451, 2902, 7255, 14510, 36275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72546 and 72550. The biggest common factor number is the GCF number.
So the greatest common factor 72546 and 72550 is 2.

Also check out the Least Common Multiple of 72546 and 72550