What is the Greatest Common Factor of 79604 and 79618?

Greatest common factor (GCF) of 79604 and 79618 is 14.

GCF(79604,79618) = 14

We will now calculate the prime factors of 79604 and 79618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79604 and 79618.

How to find the GCF of 79604 and 79618?

We will first find the prime factorization of 79604 and 79618. After we will calculate the factors of 79604 and 79618 and find the biggest common factor number .

Step-1: Prime Factorization of 79604

Prime factors of 79604 are 2, 7, 2843. Prime factorization of 79604 in exponential form is:

79604 = 2² × 7¹ × 2843¹

Step-2: Prime Factorization of 79618

Prime factors of 79618 are 2, 7, 11, 47. Prime factorization of 79618 in exponential form is:

79618 = 2¹ × 7¹ × 11² × 47¹

Step-3: Factors of 79604

List of positive integer factors of 79604 that divides 79604 without a remainder.

1, 2, 4, 7, 14, 28, 2843, 5686, 11372, 19901, 39802

Step-4: Factors of 79618

List of positive integer factors of 79618 that divides 79604 without a remainder.

1, 2, 7, 11, 14, 22, 47, 77, 94, 121, 154, 242, 329, 517, 658, 847, 1034, 1694, 3619, 5687, 7238, 11374, 39809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79604 and 79618. The biggest common factor number is the GCF number.
So the greatest common factor 79604 and 79618 is 14.

Also check out the Least Common Multiple of 79604 and 79618