What is the Greatest Common Factor of 72610 and 72622?

Greatest common factor (GCF) of 72610 and 72622 is 2.

GCF(72610,72622) = 2

We will now calculate the prime factors of 72610 and 72622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72610 and 72622.

How to find the GCF of 72610 and 72622?

We will first find the prime factorization of 72610 and 72622. After we will calculate the factors of 72610 and 72622 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 72622

Prime factors of 72622 are 2, 11, 3301. Prime factorization of 72622 in exponential form is:

72622 = 2¹ × 11¹ × 3301¹

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 72622

List of positive integer factors of 72622 that divides 72610 without a remainder.

1, 2, 11, 22, 3301, 6602, 36311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72610 and 72622. The biggest common factor number is the GCF number.
So the greatest common factor 72610 and 72622 is 2.

Also check out the Least Common Multiple of 72610 and 72622