What is the Greatest Common Factor of 80314 and 80332?

Greatest common factor (GCF) of 80314 and 80332 is 2.

GCF(80314,80332) = 2

We will now calculate the prime factors of 80314 and 80332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80314 and 80332.

How to find the GCF of 80314 and 80332?

We will first find the prime factorization of 80314 and 80332. After we will calculate the factors of 80314 and 80332 and find the biggest common factor number .

Step-1: Prime Factorization of 80314

Prime factors of 80314 are 2, 13, 3089. Prime factorization of 80314 in exponential form is:

80314 = 2¹ × 13¹ × 3089¹

Step-2: 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-3: Factors of 80314

List of positive integer factors of 80314 that divides 80314 without a remainder.

1, 2, 13, 26, 3089, 6178, 40157

Step-4: Factors of 80332

List of positive integer factors of 80332 that divides 80314 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80314 and 80332. The biggest common factor number is the GCF number.
So the greatest common factor 80314 and 80332 is 2.

Also check out the Least Common Multiple of 80314 and 80332