What is the Greatest Common Factor of 84435 and 84448?

Greatest common factor (GCF) of 84435 and 84448 is 13.

GCF(84435,84448) = 13

We will now calculate the prime factors of 84435 and 84448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84435 and 84448.

How to find the GCF of 84435 and 84448?

We will first find the prime factorization of 84435 and 84448. After we will calculate the factors of 84435 and 84448 and find the biggest common factor number .

Step-1: Prime Factorization of 84435

Prime factors of 84435 are 3, 5, 13, 433. Prime factorization of 84435 in exponential form is:

84435 = 3¹ × 5¹ × 13¹ × 433¹

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 84435

List of positive integer factors of 84435 that divides 84435 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 433, 1299, 2165, 5629, 6495, 16887, 28145

Step-4: Factors of 84448

List of positive integer factors of 84448 that divides 84435 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 84435 and 84448. The biggest common factor number is the GCF number.
So the greatest common factor 84435 and 84448 is 13.

Also check out the Least Common Multiple of 84435 and 84448