What is the Greatest Common Factor of 79814 and 79834?

Greatest common factor (GCF) of 79814 and 79834 is 2.

GCF(79814,79834) = 2

We will now calculate the prime factors of 79814 and 79834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79814 and 79834.

How to find the GCF of 79814 and 79834?

We will first find the prime factorization of 79814 and 79834. After we will calculate the factors of 79814 and 79834 and find the biggest common factor number .

Step-1: Prime Factorization of 79814

Prime factors of 79814 are 2, 7, 5701. Prime factorization of 79814 in exponential form is:

79814 = 2¹ × 7¹ × 5701¹

Step-2: Prime Factorization of 79834

Prime factors of 79834 are 2, 179, 223. Prime factorization of 79834 in exponential form is:

79834 = 2¹ × 179¹ × 223¹

Step-3: Factors of 79814

List of positive integer factors of 79814 that divides 79814 without a remainder.

1, 2, 7, 14, 5701, 11402, 39907

Step-4: Factors of 79834

List of positive integer factors of 79834 that divides 79814 without a remainder.

1, 2, 179, 223, 358, 446, 39917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79814 and 79834. The biggest common factor number is the GCF number.
So the greatest common factor 79814 and 79834 is 2.

Also check out the Least Common Multiple of 79814 and 79834