What is the Greatest Common Factor of 80119 and 80132?

Greatest common factor (GCF) of 80119 and 80132 is 13.

GCF(80119,80132) = 13

We will now calculate the prime factors of 80119 and 80132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80119 and 80132.

How to find the GCF of 80119 and 80132?

We will first find the prime factorization of 80119 and 80132. After we will calculate the factors of 80119 and 80132 and find the biggest common factor number .

Step-1: Prime Factorization of 80119

Prime factors of 80119 are 13, 6163. Prime factorization of 80119 in exponential form is:

80119 = 13¹ × 6163¹

Step-2: Prime Factorization of 80132

Prime factors of 80132 are 2, 13, 23, 67. Prime factorization of 80132 in exponential form is:

80132 = 2² × 13¹ × 23¹ × 67¹

Step-3: Factors of 80119

List of positive integer factors of 80119 that divides 80119 without a remainder.

1, 13, 6163

Step-4: Factors of 80132

List of positive integer factors of 80132 that divides 80119 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 67, 92, 134, 268, 299, 598, 871, 1196, 1541, 1742, 3082, 3484, 6164, 20033, 40066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80119 and 80132. The biggest common factor number is the GCF number.
So the greatest common factor 80119 and 80132 is 13.

Also check out the Least Common Multiple of 80119 and 80132