What is the Greatest Common Factor of 72610 and 72614?

Greatest common factor (GCF) of 72610 and 72614 is 2.

GCF(72610,72614) = 2

We will now calculate the prime factors of 72610 and 72614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72610 and 72614.

How to find the GCF of 72610 and 72614?

We will first find the prime factorization of 72610 and 72614. After we will calculate the factors of 72610 and 72614 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 72614

Prime factors of 72614 are 2, 36307. Prime factorization of 72614 in exponential form is:

72614 = 2¹ × 36307¹

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 72614

List of positive integer factors of 72614 that divides 72610 without a remainder.

1, 2, 36307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72610 and 72614. The biggest common factor number is the GCF number.
So the greatest common factor 72610 and 72614 is 2.

Also check out the Least Common Multiple of 72610 and 72614