What is the Greatest Common Factor of 73724 and 73738?

Greatest common factor (GCF) of 73724 and 73738 is 14.

GCF(73724,73738) = 14

We will now calculate the prime factors of 73724 and 73738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73724 and 73738.

How to find the GCF of 73724 and 73738?

We will first find the prime factorization of 73724 and 73738. After we will calculate the factors of 73724 and 73738 and find the biggest common factor number .

Step-1: Prime Factorization of 73724

Prime factors of 73724 are 2, 7, 2633. Prime factorization of 73724 in exponential form is:

73724 = 2² × 7¹ × 2633¹

Step-2: Prime Factorization of 73738

Prime factors of 73738 are 2, 7, 23, 229. Prime factorization of 73738 in exponential form is:

73738 = 2¹ × 7¹ × 23¹ × 229¹

Step-3: Factors of 73724

List of positive integer factors of 73724 that divides 73724 without a remainder.

1, 2, 4, 7, 14, 28, 2633, 5266, 10532, 18431, 36862

Step-4: Factors of 73738

List of positive integer factors of 73738 that divides 73724 without a remainder.

1, 2, 7, 14, 23, 46, 161, 229, 322, 458, 1603, 3206, 5267, 10534, 36869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73724 and 73738. The biggest common factor number is the GCF number.
So the greatest common factor 73724 and 73738 is 14.

Also check out the Least Common Multiple of 73724 and 73738