What is the Greatest Common Factor of 80416 and 80434?

Greatest common factor (GCF) of 80416 and 80434 is 2.

GCF(80416,80434) = 2

We will now calculate the prime factors of 80416 and 80434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80416 and 80434.

How to find the GCF of 80416 and 80434?

We will first find the prime factorization of 80416 and 80434. After we will calculate the factors of 80416 and 80434 and find the biggest common factor number .

Step-1: Prime Factorization of 80416

Prime factors of 80416 are 2, 7, 359. Prime factorization of 80416 in exponential form is:

80416 = 2⁵ × 7¹ × 359¹

Step-2: Prime Factorization of 80434

Prime factors of 80434 are 2, 131, 307. Prime factorization of 80434 in exponential form is:

80434 = 2¹ × 131¹ × 307¹

Step-3: Factors of 80416

List of positive integer factors of 80416 that divides 80416 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 359, 718, 1436, 2513, 2872, 5026, 5744, 10052, 11488, 20104, 40208

Step-4: Factors of 80434

List of positive integer factors of 80434 that divides 80416 without a remainder.

1, 2, 131, 262, 307, 614, 40217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80416 and 80434. The biggest common factor number is the GCF number.
So the greatest common factor 80416 and 80434 is 2.

Also check out the Least Common Multiple of 80416 and 80434