What is the Greatest Common Factor of 83952 and 83960?

Greatest common factor (GCF) of 83952 and 83960 is 8.

GCF(83952,83960) = 8

We will now calculate the prime factors of 83952 and 83960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83952 and 83960.

How to find the GCF of 83952 and 83960?

We will first find the prime factorization of 83952 and 83960. After we will calculate the factors of 83952 and 83960 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 83960

Prime factors of 83960 are 2, 5, 2099. Prime factorization of 83960 in exponential form is:

83960 = 2³ × 5¹ × 2099¹

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 83960

List of positive integer factors of 83960 that divides 83952 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2099, 4198, 8396, 10495, 16792, 20990, 41980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83952 and 83960. The biggest common factor number is the GCF number.
So the greatest common factor 83952 and 83960 is 8.

Also check out the Least Common Multiple of 83952 and 83960