What is the Greatest Common Factor of 72610 and 72630?

Greatest common factor (GCF) of 72610 and 72630 is 10.

GCF(72610,72630) = 10

We will now calculate the prime factors of 72610 and 72630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72610 and 72630.

How to find the GCF of 72610 and 72630?

We will first find the prime factorization of 72610 and 72630. After we will calculate the factors of 72610 and 72630 and find the biggest common factor number .

Step-1: Prime Factorization of 72610

Prime factors of 72610 are 2, 5, 53, 137. Prime factorization of 72610 in exponential form is:

72610 = 2¹ × 5¹ × 53¹ × 137¹

Step-2: Prime Factorization of 72630

Prime factors of 72630 are 2, 3, 5, 269. Prime factorization of 72630 in exponential form is:

72630 = 2¹ × 3³ × 5¹ × 269¹

Step-3: Factors of 72610

List of positive integer factors of 72610 that divides 72610 without a remainder.

1, 2, 5, 10, 53, 106, 137, 265, 274, 530, 685, 1370, 7261, 14522, 36305

Step-4: Factors of 72630

List of positive integer factors of 72630 that divides 72610 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 269, 270, 538, 807, 1345, 1614, 2421, 2690, 4035, 4842, 7263, 8070, 12105, 14526, 24210, 36315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72610 and 72630. The biggest common factor number is the GCF number.
So the greatest common factor 72610 and 72630 is 10.

Also check out the Least Common Multiple of 72610 and 72630