What is the Greatest Common Factor of 78724 and 78742?

Greatest common factor (GCF) of 78724 and 78742 is 2.

GCF(78724,78742) = 2

We will now calculate the prime factors of 78724 and 78742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78724 and 78742.

How to find the GCF of 78724 and 78742?

We will first find the prime factorization of 78724 and 78742. After we will calculate the factors of 78724 and 78742 and find the biggest common factor number .

Step-1: Prime Factorization of 78724

Prime factors of 78724 are 2, 19681. Prime factorization of 78724 in exponential form is:

78724 = 2² × 19681¹

Step-2: Prime Factorization of 78742

Prime factors of 78742 are 2, 39371. Prime factorization of 78742 in exponential form is:

78742 = 2¹ × 39371¹

Step-3: Factors of 78724

List of positive integer factors of 78724 that divides 78724 without a remainder.

1, 2, 4, 19681, 39362

Step-4: Factors of 78742

List of positive integer factors of 78742 that divides 78724 without a remainder.

1, 2, 39371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78724 and 78742. The biggest common factor number is the GCF number.
So the greatest common factor 78724 and 78742 is 2.

Also check out the Least Common Multiple of 78724 and 78742