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What is the Greatest Common Factor of 36888 and 36899?

Greatest common factor (GCF) of 36888 and 36899 is 1.

GCF(36888,36899) = 1

We will now calculate the prime factors of 36888 and 36899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36888 and 36899.

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How to find the GCF of 36888 and 36899?

We will first find the prime factorization of 36888 and 36899. After we will calculate the factors of 36888 and 36899 and find the biggest common factor number .

Step-1: Prime Factorization of 36888

Prime factors of 36888 are 2, 3, 29, 53. Prime factorization of 36888 in exponential form is:

36888 = 23 × 31 × 291 × 531

Step-2: Prime Factorization of 36899

Prime factors of 36899 are 36899. Prime factorization of 36899 in exponential form is:

36899 = 368991

Step-3: Factors of 36888

List of positive integer factors of 36888 that divides 36888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 53, 58, 87, 106, 116, 159, 174, 212, 232, 318, 348, 424, 636, 696, 1272, 1537, 3074, 4611, 6148, 9222, 12296, 18444

Step-4: Factors of 36899

List of positive integer factors of 36899 that divides 36888 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36888 and 36899. The biggest common factor number is the GCF number.
So the greatest common factor 36888 and 36899 is 1.

Also check out the Least Common Multiple of 36888 and 36899