What is the Greatest Common Factor of 80152 and 80158?

Greatest common factor (GCF) of 80152 and 80158 is 2.

GCF(80152,80158) = 2

We will now calculate the prime factors of 80152 and 80158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80152 and 80158.

How to find the GCF of 80152 and 80158?

We will first find the prime factorization of 80152 and 80158. After we will calculate the factors of 80152 and 80158 and find the biggest common factor number .

Step-1: Prime Factorization of 80152

Prime factors of 80152 are 2, 43, 233. Prime factorization of 80152 in exponential form is:

80152 = 2³ × 43¹ × 233¹

Step-2: Prime Factorization of 80158

Prime factors of 80158 are 2, 13, 3083. Prime factorization of 80158 in exponential form is:

80158 = 2¹ × 13¹ × 3083¹

Step-3: Factors of 80152

List of positive integer factors of 80152 that divides 80152 without a remainder.

1, 2, 4, 8, 43, 86, 172, 233, 344, 466, 932, 1864, 10019, 20038, 40076

Step-4: Factors of 80158

List of positive integer factors of 80158 that divides 80152 without a remainder.

1, 2, 13, 26, 3083, 6166, 40079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80152 and 80158. The biggest common factor number is the GCF number.
So the greatest common factor 80152 and 80158 is 2.

Also check out the Least Common Multiple of 80152 and 80158