What is the Greatest Common Factor of 37029 and 37038?

Greatest common factor (GCF) of 37029 and 37038 is 3.

GCF(37029,37038) = 3

We will now calculate the prime factors of 37029 and 37038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37029 and 37038.

How to find the GCF of 37029 and 37038?

We will first find the prime factorization of 37029 and 37038. After we will calculate the factors of 37029 and 37038 and find the biggest common factor number .

Step-1: Prime Factorization of 37029

Prime factors of 37029 are 3, 12343. Prime factorization of 37029 in exponential form is:

37029 = 3¹ × 12343¹

Step-2: Prime Factorization of 37038

Prime factors of 37038 are 2, 3, 6173. Prime factorization of 37038 in exponential form is:

37038 = 2¹ × 3¹ × 6173¹

Step-3: Factors of 37029

List of positive integer factors of 37029 that divides 37029 without a remainder.

1, 3, 12343

Step-4: Factors of 37038

List of positive integer factors of 37038 that divides 37029 without a remainder.

1, 2, 3, 6, 6173, 12346, 18519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37029 and 37038. The biggest common factor number is the GCF number.
So the greatest common factor 37029 and 37038 is 3.

Also check out the Least Common Multiple of 37029 and 37038