What is the Greatest Common Factor of 83952 and 83967?

Greatest common factor (GCF) of 83952 and 83967 is 3.

GCF(83952,83967) = 3

We will now calculate the prime factors of 83952 and 83967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83952 and 83967.

How to find the GCF of 83952 and 83967?

We will first find the prime factorization of 83952 and 83967. After we will calculate the factors of 83952 and 83967 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83967

Prime factors of 83967 are 3, 13, 2153. Prime factorization of 83967 in exponential form is:

83967 = 3¹ × 13¹ × 2153¹

Step-3: Factors of 83952

List of positive integer factors of 83952 that divides 83952 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

Step-4: Factors of 83967

List of positive integer factors of 83967 that divides 83952 without a remainder.

1, 3, 13, 39, 2153, 6459, 27989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83952 and 83967. The biggest common factor number is the GCF number.
So the greatest common factor 83952 and 83967 is 3.

Also check out the Least Common Multiple of 83952 and 83967