What is the Greatest Common Factor of 80112 and 80132?

Greatest common factor (GCF) of 80112 and 80132 is 4.

GCF(80112,80132) = 4

We will now calculate the prime factors of 80112 and 80132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80112 and 80132.

How to find the GCF of 80112 and 80132?

We will first find the prime factorization of 80112 and 80132. After we will calculate the factors of 80112 and 80132 and find the biggest common factor number .

Step-1: Prime Factorization of 80112

Prime factors of 80112 are 2, 3, 1669. Prime factorization of 80112 in exponential form is:

80112 = 2⁴ × 3¹ × 1669¹

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 80112

List of positive integer factors of 80112 that divides 80112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1669, 3338, 5007, 6676, 10014, 13352, 20028, 26704, 40056

Step-4: Factors of 80132

List of positive integer factors of 80132 that divides 80112 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 80112 and 80132. The biggest common factor number is the GCF number.
So the greatest common factor 80112 and 80132 is 4.

Also check out the Least Common Multiple of 80112 and 80132