What is the Greatest Common Factor of 84436 and 84448?

Greatest common factor (GCF) of 84436 and 84448 is 4.

GCF(84436,84448) = 4

We will now calculate the prime factors of 84436 and 84448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84436 and 84448.

How to find the GCF of 84436 and 84448?

We will first find the prime factorization of 84436 and 84448. After we will calculate the factors of 84436 and 84448 and find the biggest common factor number .

Step-1: Prime Factorization of 84436

Prime factors of 84436 are 2, 11, 19, 101. Prime factorization of 84436 in exponential form is:

84436 = 2² × 11¹ × 19¹ × 101¹

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 84436

List of positive integer factors of 84436 that divides 84436 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 101, 202, 209, 404, 418, 836, 1111, 1919, 2222, 3838, 4444, 7676, 21109, 42218

Step-4: Factors of 84448

List of positive integer factors of 84448 that divides 84436 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 84436 and 84448. The biggest common factor number is the GCF number.
So the greatest common factor 84436 and 84448 is 4.

Also check out the Least Common Multiple of 84436 and 84448