What is the Greatest Common Factor of 72674 and 72686?

Greatest common factor (GCF) of 72674 and 72686 is 2.

GCF(72674,72686) = 2

We will now calculate the prime factors of 72674 and 72686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72674 and 72686.

How to find the GCF of 72674 and 72686?

We will first find the prime factorization of 72674 and 72686. After we will calculate the factors of 72674 and 72686 and find the biggest common factor number .

Step-1: Prime Factorization of 72674

Prime factors of 72674 are 2, 7, 29, 179. Prime factorization of 72674 in exponential form is:

72674 = 2¹ × 7¹ × 29¹ × 179¹

Step-2: Prime Factorization of 72686

Prime factors of 72686 are 2, 36343. Prime factorization of 72686 in exponential form is:

72686 = 2¹ × 36343¹

Step-3: Factors of 72674

List of positive integer factors of 72674 that divides 72674 without a remainder.

1, 2, 7, 14, 29, 58, 179, 203, 358, 406, 1253, 2506, 5191, 10382, 36337

Step-4: Factors of 72686

List of positive integer factors of 72686 that divides 72674 without a remainder.

1, 2, 36343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72674 and 72686. The biggest common factor number is the GCF number.
So the greatest common factor 72674 and 72686 is 2.

Also check out the Least Common Multiple of 72674 and 72686