What is the Greatest Common Factor of 37092 and 37099?

Greatest common factor (GCF) of 37092 and 37099 is 1.

GCF(37092,37099) = 1

We will now calculate the prime factors of 37092 and 37099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37092 and 37099.

How to find the GCF of 37092 and 37099?

We will first find the prime factorization of 37092 and 37099. After we will calculate the factors of 37092 and 37099 and find the biggest common factor number .

Step-1: Prime Factorization of 37092

Prime factors of 37092 are 2, 3, 11, 281. Prime factorization of 37092 in exponential form is:

37092 = 2² × 3¹ × 11¹ × 281¹

Step-2: Prime Factorization of 37099

Prime factors of 37099 are 23, 1613. Prime factorization of 37099 in exponential form is:

37099 = 23¹ × 1613¹

Step-3: Factors of 37092

List of positive integer factors of 37092 that divides 37092 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 281, 562, 843, 1124, 1686, 3091, 3372, 6182, 9273, 12364, 18546

Step-4: Factors of 37099

List of positive integer factors of 37099 that divides 37092 without a remainder.

1, 23, 1613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37092 and 37099. The biggest common factor number is the GCF number.
So the greatest common factor 37092 and 37099 is 1.

Also check out the Least Common Multiple of 37092 and 37099