What is the Greatest Common Factor of 83944 and 83952?

Greatest common factor (GCF) of 83944 and 83952 is 8.

GCF(83944,83952) = 8

We will now calculate the prime factors of 83944 and 83952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83944 and 83952.

How to find the GCF of 83944 and 83952?

We will first find the prime factorization of 83944 and 83952. After we will calculate the factors of 83944 and 83952 and find the biggest common factor number .

Step-1: Prime Factorization of 83944

Prime factors of 83944 are 2, 7, 1499. Prime factorization of 83944 in exponential form is:

83944 = 2³ × 7¹ × 1499¹

Step-2: Prime Factorization of 83952

Prime factors of 83952 are 2, 3, 11, 53. Prime factorization of 83952 in exponential form is:

83952 = 2⁴ × 3² × 11¹ × 53¹

Step-3: Factors of 83944

List of positive integer factors of 83944 that divides 83944 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1499, 2998, 5996, 10493, 11992, 20986, 41972

Step-4: Factors of 83952

List of positive integer factors of 83952 that divides 83944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 53, 66, 72, 88, 99, 106, 132, 144, 159, 176, 198, 212, 264, 318, 396, 424, 477, 528, 583, 636, 792, 848, 954, 1166, 1272, 1584, 1749, 1908, 2332, 2544, 3498, 3816, 4664, 5247, 6996, 7632, 9328, 10494, 13992, 20988, 27984, 41976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83944 and 83952. The biggest common factor number is the GCF number.
So the greatest common factor 83944 and 83952 is 8.

Also check out the Least Common Multiple of 83944 and 83952