What is the Greatest Common Factor of 80414 and 80426?

Greatest common factor (GCF) of 80414 and 80426 is 2.

GCF(80414,80426) = 2

We will now calculate the prime factors of 80414 and 80426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80414 and 80426.

How to find the GCF of 80414 and 80426?

We will first find the prime factorization of 80414 and 80426. After we will calculate the factors of 80414 and 80426 and find the biggest common factor number .

Step-1: Prime Factorization of 80414

Prime factors of 80414 are 2, 31, 1297. Prime factorization of 80414 in exponential form is:

80414 = 2¹ × 31¹ × 1297¹

Step-2: Prime Factorization of 80426

Prime factors of 80426 are 2, 40213. Prime factorization of 80426 in exponential form is:

80426 = 2¹ × 40213¹

Step-3: Factors of 80414

List of positive integer factors of 80414 that divides 80414 without a remainder.

1, 2, 31, 62, 1297, 2594, 40207

Step-4: Factors of 80426

List of positive integer factors of 80426 that divides 80414 without a remainder.

1, 2, 40213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80414 and 80426. The biggest common factor number is the GCF number.
So the greatest common factor 80414 and 80426 is 2.

Also check out the Least Common Multiple of 80414 and 80426