What is the Greatest Common Factor of 72674 and 72681?

Greatest common factor (GCF) of 72674 and 72681 is 7.

GCF(72674,72681) = 7

We will now calculate the prime factors of 72674 and 72681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72674 and 72681.

How to find the GCF of 72674 and 72681?

We will first find the prime factorization of 72674 and 72681. After we will calculate the factors of 72674 and 72681 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 72681

Prime factors of 72681 are 3, 7, 3461. Prime factorization of 72681 in exponential form is:

72681 = 3¹ × 7¹ × 3461¹

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 72681

List of positive integer factors of 72681 that divides 72674 without a remainder.

1, 3, 7, 21, 3461, 10383, 24227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72674 and 72681. The biggest common factor number is the GCF number.
So the greatest common factor 72674 and 72681 is 7.

Also check out the Least Common Multiple of 72674 and 72681