What is the Greatest Common Factor of 80418 and 80431?

Greatest common factor (GCF) of 80418 and 80431 is 13.

GCF(80418,80431) = 13

We will now calculate the prime factors of 80418 and 80431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80418 and 80431.

How to find the GCF of 80418 and 80431?

We will first find the prime factorization of 80418 and 80431. After we will calculate the factors of 80418 and 80431 and find the biggest common factor number .

Step-1: Prime Factorization of 80418

Prime factors of 80418 are 2, 3, 13, 1031. Prime factorization of 80418 in exponential form is:

80418 = 2¹ × 3¹ × 13¹ × 1031¹

Step-2: Prime Factorization of 80431

Prime factors of 80431 are 13, 23, 269. Prime factorization of 80431 in exponential form is:

80431 = 13¹ × 23¹ × 269¹

Step-3: Factors of 80418

List of positive integer factors of 80418 that divides 80418 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1031, 2062, 3093, 6186, 13403, 26806, 40209

Step-4: Factors of 80431

List of positive integer factors of 80431 that divides 80418 without a remainder.

1, 13, 23, 269, 299, 3497, 6187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80418 and 80431. The biggest common factor number is the GCF number.
So the greatest common factor 80418 and 80431 is 13.

Also check out the Least Common Multiple of 80418 and 80431