What is the Greatest Common Factor of 72702 and 72716?

Greatest common factor (GCF) of 72702 and 72716 is 14.

GCF(72702,72716) = 14

We will now calculate the prime factors of 72702 and 72716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72702 and 72716.

How to find the GCF of 72702 and 72716?

We will first find the prime factorization of 72702 and 72716. After we will calculate the factors of 72702 and 72716 and find the biggest common factor number .

Step-1: Prime Factorization of 72702

Prime factors of 72702 are 2, 3, 7, 577. Prime factorization of 72702 in exponential form is:

72702 = 2¹ × 3² × 7¹ × 577¹

Step-2: Prime Factorization of 72716

Prime factors of 72716 are 2, 7, 53. Prime factorization of 72716 in exponential form is:

72716 = 2² × 7³ × 53¹

Step-3: Factors of 72702

List of positive integer factors of 72702 that divides 72702 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 577, 1154, 1731, 3462, 4039, 5193, 8078, 10386, 12117, 24234, 36351

Step-4: Factors of 72716

List of positive integer factors of 72716 that divides 72702 without a remainder.

1, 2, 4, 7, 14, 28, 49, 53, 98, 106, 196, 212, 343, 371, 686, 742, 1372, 1484, 2597, 5194, 10388, 18179, 36358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72702 and 72716. The biggest common factor number is the GCF number.
So the greatest common factor 72702 and 72716 is 14.

Also check out the Least Common Multiple of 72702 and 72716