What is the Greatest Common Factor of 36096 and 36109?

Greatest common factor (GCF) of 36096 and 36109 is 1.

GCF(36096,36109) = 1

We will now calculate the prime factors of 36096 and 36109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36096 and 36109.

How to find the GCF of 36096 and 36109?

We will first find the prime factorization of 36096 and 36109. After we will calculate the factors of 36096 and 36109 and find the biggest common factor number .

Step-1: Prime Factorization of 36096

Prime factors of 36096 are 2, 3, 47. Prime factorization of 36096 in exponential form is:

36096 = 2⁸ × 3¹ × 47¹

Step-2: Prime Factorization of 36109

Prime factors of 36109 are 36109. Prime factorization of 36109 in exponential form is:

36109 = 36109¹

Step-3: Factors of 36096

List of positive integer factors of 36096 that divides 36096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 128, 141, 188, 192, 256, 282, 376, 384, 564, 752, 768, 1128, 1504, 2256, 3008, 4512, 6016, 9024, 12032, 18048

Step-4: Factors of 36109

List of positive integer factors of 36109 that divides 36096 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36096 and 36109. The biggest common factor number is the GCF number.
So the greatest common factor 36096 and 36109 is 1.

Also check out the Least Common Multiple of 36096 and 36109