What is the Greatest Common Factor of 80450 and 80464?

Greatest common factor (GCF) of 80450 and 80464 is 2.

GCF(80450,80464) = 2

We will now calculate the prime factors of 80450 and 80464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80450 and 80464.

How to find the GCF of 80450 and 80464?

We will first find the prime factorization of 80450 and 80464. After we will calculate the factors of 80450 and 80464 and find the biggest common factor number .

Step-1: Prime Factorization of 80450

Prime factors of 80450 are 2, 5, 1609. Prime factorization of 80450 in exponential form is:

80450 = 2¹ × 5² × 1609¹

Step-2: Prime Factorization of 80464

Prime factors of 80464 are 2, 47, 107. Prime factorization of 80464 in exponential form is:

80464 = 2⁴ × 47¹ × 107¹

Step-3: Factors of 80450

List of positive integer factors of 80450 that divides 80450 without a remainder.

1, 2, 5, 10, 25, 50, 1609, 3218, 8045, 16090, 40225

Step-4: Factors of 80464

List of positive integer factors of 80464 that divides 80450 without a remainder.

1, 2, 4, 8, 16, 47, 94, 107, 188, 214, 376, 428, 752, 856, 1712, 5029, 10058, 20116, 40232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80450 and 80464. The biggest common factor number is the GCF number.
So the greatest common factor 80450 and 80464 is 2.

Also check out the Least Common Multiple of 80450 and 80464