What is the Greatest Common Factor of 84434 and 84448?

Greatest common factor (GCF) of 84434 and 84448 is 14.

GCF(84434,84448) = 14

We will now calculate the prime factors of 84434 and 84448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84434 and 84448.

How to find the GCF of 84434 and 84448?

We will first find the prime factorization of 84434 and 84448. After we will calculate the factors of 84434 and 84448 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 84434

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

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

Step-4: Factors of 84448

List of positive integer factors of 84448 that divides 84434 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84434 and 84448. The biggest common factor number is the GCF number.
So the greatest common factor 84434 and 84448 is 14.

Also check out the Least Common Multiple of 84434 and 84448