What is the Greatest Common Factor of 80132 and 80146?

Greatest common factor (GCF) of 80132 and 80146 is 2.

GCF(80132,80146) = 2

We will now calculate the prime factors of 80132 and 80146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80132 and 80146.

How to find the GCF of 80132 and 80146?

We will first find the prime factorization of 80132 and 80146. After we will calculate the factors of 80132 and 80146 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80146

Prime factors of 80146 are 2, 11, 3643. Prime factorization of 80146 in exponential form is:

80146 = 2¹ × 11¹ × 3643¹

Step-3: Factors of 80132

List of positive integer factors of 80132 that divides 80132 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

Step-4: Factors of 80146

List of positive integer factors of 80146 that divides 80132 without a remainder.

1, 2, 11, 22, 3643, 7286, 40073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80132 and 80146. The biggest common factor number is the GCF number.
So the greatest common factor 80132 and 80146 is 2.

Also check out the Least Common Multiple of 80132 and 80146