What is the Greatest Common Factor of 83952 and 83969?

Greatest common factor (GCF) of 83952 and 83969 is 1.

GCF(83952,83969) = 1

We will now calculate the prime factors of 83952 and 83969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83952 and 83969.

How to find the GCF of 83952 and 83969?

We will first find the prime factorization of 83952 and 83969. After we will calculate the factors of 83952 and 83969 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 83969

Prime factors of 83969 are 83969. Prime factorization of 83969 in exponential form is:

83969 = 83969¹

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 83969

List of positive integer factors of 83969 that divides 83952 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83952 and 83969. The biggest common factor number is the GCF number.
So the greatest common factor 83952 and 83969 is 1.

Also check out the Least Common Multiple of 83952 and 83969