What is the Greatest Common Factor of 79930 and 79946?

Greatest common factor (GCF) of 79930 and 79946 is 2.

GCF(79930,79946) = 2

We will now calculate the prime factors of 79930 and 79946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79930 and 79946.

How to find the GCF of 79930 and 79946?

We will first find the prime factorization of 79930 and 79946. After we will calculate the factors of 79930 and 79946 and find the biggest common factor number .

Step-1: Prime Factorization of 79930

Prime factors of 79930 are 2, 5, 7993. Prime factorization of 79930 in exponential form is:

79930 = 2¹ × 5¹ × 7993¹

Step-2: Prime Factorization of 79946

Prime factors of 79946 are 2, 71, 563. Prime factorization of 79946 in exponential form is:

79946 = 2¹ × 71¹ × 563¹

Step-3: Factors of 79930

List of positive integer factors of 79930 that divides 79930 without a remainder.

1, 2, 5, 10, 7993, 15986, 39965

Step-4: Factors of 79946

List of positive integer factors of 79946 that divides 79930 without a remainder.

1, 2, 71, 142, 563, 1126, 39973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79930 and 79946. The biggest common factor number is the GCF number.
So the greatest common factor 79930 and 79946 is 2.

Also check out the Least Common Multiple of 79930 and 79946