What is the Greatest Common Factor of 80296 and 80310?

Greatest common factor (GCF) of 80296 and 80310 is 2.

GCF(80296,80310) = 2

We will now calculate the prime factors of 80296 and 80310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80296 and 80310.

How to find the GCF of 80296 and 80310?

We will first find the prime factorization of 80296 and 80310. After we will calculate the factors of 80296 and 80310 and find the biggest common factor number .

Step-1: Prime Factorization of 80296

Prime factors of 80296 are 2, 10037. Prime factorization of 80296 in exponential form is:

80296 = 2³ × 10037¹

Step-2: Prime Factorization of 80310

Prime factors of 80310 are 2, 3, 5, 2677. Prime factorization of 80310 in exponential form is:

80310 = 2¹ × 3¹ × 5¹ × 2677¹

Step-3: Factors of 80296

List of positive integer factors of 80296 that divides 80296 without a remainder.

1, 2, 4, 8, 10037, 20074, 40148

Step-4: Factors of 80310

List of positive integer factors of 80310 that divides 80296 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2677, 5354, 8031, 13385, 16062, 26770, 40155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80296 and 80310. The biggest common factor number is the GCF number.
So the greatest common factor 80296 and 80310 is 2.

Also check out the Least Common Multiple of 80296 and 80310