What is the Greatest Common Factor of 83904 and 83909?

Greatest common factor (GCF) of 83904 and 83909 is 1.

GCF(83904,83909) = 1

We will now calculate the prime factors of 83904 and 83909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83904 and 83909.

How to find the GCF of 83904 and 83909?

We will first find the prime factorization of 83904 and 83909. After we will calculate the factors of 83904 and 83909 and find the biggest common factor number .

Step-1: Prime Factorization of 83904

Prime factors of 83904 are 2, 3, 19, 23. Prime factorization of 83904 in exponential form is:

83904 = 2⁶ × 3¹ × 19¹ × 23¹

Step-2: Prime Factorization of 83909

Prime factors of 83909 are 7, 11987. Prime factorization of 83909 in exponential form is:

83909 = 7¹ × 11987¹

Step-3: Factors of 83904

List of positive integer factors of 83904 that divides 83904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 23, 24, 32, 38, 46, 48, 57, 64, 69, 76, 92, 96, 114, 138, 152, 184, 192, 228, 276, 304, 368, 437, 456, 552, 608, 736, 874, 912, 1104, 1216, 1311, 1472, 1748, 1824, 2208, 2622, 3496, 3648, 4416, 5244, 6992, 10488, 13984, 20976, 27968, 41952

Step-4: Factors of 83909

List of positive integer factors of 83909 that divides 83904 without a remainder.

1, 7, 11987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83904 and 83909. The biggest common factor number is the GCF number.
So the greatest common factor 83904 and 83909 is 1.

Also check out the Least Common Multiple of 83904 and 83909