What is the Greatest Common Factor of 36096 and 36115?

Greatest common factor (GCF) of 36096 and 36115 is 1.

GCF(36096,36115) = 1

We will now calculate the prime factors of 36096 and 36115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36096 and 36115.

How to find the GCF of 36096 and 36115?

We will first find the prime factorization of 36096 and 36115. After we will calculate the factors of 36096 and 36115 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 36115

Prime factors of 36115 are 5, 31, 233. Prime factorization of 36115 in exponential form is:

36115 = 5¹ × 31¹ × 233¹

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 36115

List of positive integer factors of 36115 that divides 36096 without a remainder.

1, 5, 31, 155, 233, 1165, 7223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36096 and 36115. The biggest common factor number is the GCF number.
So the greatest common factor 36096 and 36115 is 1.

Also check out the Least Common Multiple of 36096 and 36115