What is the Greatest Common Factor of 78614 and 78620?

Greatest common factor (GCF) of 78614 and 78620 is 2.

GCF(78614,78620) = 2

We will now calculate the prime factors of 78614 and 78620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78614 and 78620.

How to find the GCF of 78614 and 78620?

We will first find the prime factorization of 78614 and 78620. After we will calculate the factors of 78614 and 78620 and find the biggest common factor number .

Step-1: Prime Factorization of 78614

Prime factors of 78614 are 2, 23, 1709. Prime factorization of 78614 in exponential form is:

78614 = 2¹ × 23¹ × 1709¹

Step-2: Prime Factorization of 78620

Prime factors of 78620 are 2, 5, 3931. Prime factorization of 78620 in exponential form is:

78620 = 2² × 5¹ × 3931¹

Step-3: Factors of 78614

List of positive integer factors of 78614 that divides 78614 without a remainder.

1, 2, 23, 46, 1709, 3418, 39307

Step-4: Factors of 78620

List of positive integer factors of 78620 that divides 78614 without a remainder.

1, 2, 4, 5, 10, 20, 3931, 7862, 15724, 19655, 39310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78614 and 78620. The biggest common factor number is the GCF number.
So the greatest common factor 78614 and 78620 is 2.

Also check out the Least Common Multiple of 78614 and 78620