What is the Greatest Common Factor of 36076 and 36096?

Greatest common factor (GCF) of 36076 and 36096 is 4.

GCF(36076,36096) = 4

We will now calculate the prime factors of 36076 and 36096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36076 and 36096.

How to find the GCF of 36076 and 36096?

We will first find the prime factorization of 36076 and 36096. After we will calculate the factors of 36076 and 36096 and find the biggest common factor number .

Step-1: Prime Factorization of 36076

Prime factors of 36076 are 2, 29, 311. Prime factorization of 36076 in exponential form is:

36076 = 2² × 29¹ × 311¹

Step-2: 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-3: Factors of 36076

List of positive integer factors of 36076 that divides 36076 without a remainder.

1, 2, 4, 29, 58, 116, 311, 622, 1244, 9019, 18038

Step-4: Factors of 36096

List of positive integer factors of 36096 that divides 36076 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36076 and 36096. The biggest common factor number is the GCF number.
So the greatest common factor 36076 and 36096 is 4.

Also check out the Least Common Multiple of 36076 and 36096