What is the Greatest Common Factor of 84448 and 84464?

Greatest common factor (GCF) of 84448 and 84464 is 16.

GCF(84448,84464) = 16

We will now calculate the prime factors of 84448 and 84464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84448 and 84464.

How to find the GCF of 84448 and 84464?

We will first find the prime factorization of 84448 and 84464. After we will calculate the factors of 84448 and 84464 and find the biggest common factor number .

Step-1: Prime Factorization of 84448

Prime factors of 84448 are 2, 7, 13, 29. Prime factorization of 84448 in exponential form is:

84448 = 2⁵ × 7¹ × 13¹ × 29¹

Step-2: Prime Factorization of 84464

Prime factors of 84464 are 2, 5279. Prime factorization of 84464 in exponential form is:

84464 = 2⁴ × 5279¹

Step-3: Factors of 84448

List of positive integer factors of 84448 that divides 84448 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 29, 32, 52, 56, 58, 91, 104, 112, 116, 182, 203, 208, 224, 232, 364, 377, 406, 416, 464, 728, 754, 812, 928, 1456, 1508, 1624, 2639, 2912, 3016, 3248, 5278, 6032, 6496, 10556, 12064, 21112, 42224

Step-4: Factors of 84464

List of positive integer factors of 84464 that divides 84448 without a remainder.

1, 2, 4, 8, 16, 5279, 10558, 21116, 42232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84448 and 84464. The biggest common factor number is the GCF number.
So the greatest common factor 84448 and 84464 is 16.

Also check out the Least Common Multiple of 84448 and 84464