What is the Greatest Common Factor of 80108 and 80122?

Greatest common factor (GCF) of 80108 and 80122 is 14.

GCF(80108,80122) = 14

We will now calculate the prime factors of 80108 and 80122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80108 and 80122.

How to find the GCF of 80108 and 80122?

We will first find the prime factorization of 80108 and 80122. After we will calculate the factors of 80108 and 80122 and find the biggest common factor number .

Step-1: Prime Factorization of 80108

Prime factors of 80108 are 2, 7, 2861. Prime factorization of 80108 in exponential form is:

80108 = 2² × 7¹ × 2861¹

Step-2: Prime Factorization of 80122

Prime factors of 80122 are 2, 7, 59, 97. Prime factorization of 80122 in exponential form is:

80122 = 2¹ × 7¹ × 59¹ × 97¹

Step-3: Factors of 80108

List of positive integer factors of 80108 that divides 80108 without a remainder.

1, 2, 4, 7, 14, 28, 2861, 5722, 11444, 20027, 40054

Step-4: Factors of 80122

List of positive integer factors of 80122 that divides 80108 without a remainder.

1, 2, 7, 14, 59, 97, 118, 194, 413, 679, 826, 1358, 5723, 11446, 40061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80108 and 80122. The biggest common factor number is the GCF number.
So the greatest common factor 80108 and 80122 is 14.

Also check out the Least Common Multiple of 80108 and 80122