What is the Greatest Common Factor of 84416 and 84434?

Greatest common factor (GCF) of 84416 and 84434 is 2.

GCF(84416,84434) = 2

We will now calculate the prime factors of 84416 and 84434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84416 and 84434.

How to find the GCF of 84416 and 84434?

We will first find the prime factorization of 84416 and 84434. After we will calculate the factors of 84416 and 84434 and find the biggest common factor number .

Step-1: Prime Factorization of 84416

Prime factors of 84416 are 2, 1319. Prime factorization of 84416 in exponential form is:

84416 = 2⁶ × 1319¹

Step-2: Prime Factorization of 84434

Prime factors of 84434 are 2, 7, 37, 163. Prime factorization of 84434 in exponential form is:

84434 = 2¹ × 7¹ × 37¹ × 163¹

Step-3: Factors of 84416

List of positive integer factors of 84416 that divides 84416 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1319, 2638, 5276, 10552, 21104, 42208

Step-4: Factors of 84434

List of positive integer factors of 84434 that divides 84416 without a remainder.

1, 2, 7, 14, 37, 74, 163, 259, 326, 518, 1141, 2282, 6031, 12062, 42217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84416 and 84434. The biggest common factor number is the GCF number.
So the greatest common factor 84416 and 84434 is 2.

Also check out the Least Common Multiple of 84416 and 84434