What is the Greatest Common Factor of 83952 and 83968?

Greatest common factor (GCF) of 83952 and 83968 is 16.

GCF(83952,83968) = 16

We will now calculate the prime factors of 83952 and 83968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83952 and 83968.

How to find the GCF of 83952 and 83968?

We will first find the prime factorization of 83952 and 83968. After we will calculate the factors of 83952 and 83968 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 83968

Prime factors of 83968 are 2, 41. Prime factorization of 83968 in exponential form is:

83968 = 2¹¹ × 41¹

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 83968

List of positive integer factors of 83968 that divides 83952 without a remainder.

1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 256, 328, 512, 656, 1024, 1312, 2048, 2624, 5248, 10496, 20992, 41984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83952 and 83968. The biggest common factor number is the GCF number.
So the greatest common factor 83952 and 83968 is 16.

Also check out the Least Common Multiple of 83952 and 83968