What is the Greatest Common Factor of 80332 and 80338?

Greatest common factor (GCF) of 80332 and 80338 is 2.

GCF(80332,80338) = 2

We will now calculate the prime factors of 80332 and 80338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80332 and 80338.

How to find the GCF of 80332 and 80338?

We will first find the prime factorization of 80332 and 80338. After we will calculate the factors of 80332 and 80338 and find the biggest common factor number .

Step-1: Prime Factorization of 80332

Prime factors of 80332 are 2, 7, 19, 151. Prime factorization of 80332 in exponential form is:

80332 = 2² × 7¹ × 19¹ × 151¹

Step-2: Prime Factorization of 80338

Prime factors of 80338 are 2, 40169. Prime factorization of 80338 in exponential form is:

80338 = 2¹ × 40169¹

Step-3: Factors of 80332

List of positive integer factors of 80332 that divides 80332 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 151, 266, 302, 532, 604, 1057, 2114, 2869, 4228, 5738, 11476, 20083, 40166

Step-4: Factors of 80338

List of positive integer factors of 80338 that divides 80332 without a remainder.

1, 2, 40169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80332 and 80338. The biggest common factor number is the GCF number.
So the greatest common factor 80332 and 80338 is 2.

Also check out the Least Common Multiple of 80332 and 80338