What is the Greatest Common Factor of 37014 and 37029?

Greatest common factor (GCF) of 37014 and 37029 is 3.

GCF(37014,37029) = 3

We will now calculate the prime factors of 37014 and 37029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37014 and 37029.

How to find the GCF of 37014 and 37029?

We will first find the prime factorization of 37014 and 37029. After we will calculate the factors of 37014 and 37029 and find the biggest common factor number .

Step-1: Prime Factorization of 37014

Prime factors of 37014 are 2, 3, 31, 199. Prime factorization of 37014 in exponential form is:

37014 = 2¹ × 3¹ × 31¹ × 199¹

Step-2: Prime Factorization of 37029

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

37029 = 3¹ × 12343¹

Step-3: Factors of 37014

List of positive integer factors of 37014 that divides 37014 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 199, 398, 597, 1194, 6169, 12338, 18507

Step-4: Factors of 37029

List of positive integer factors of 37029 that divides 37014 without a remainder.

1, 3, 12343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37014 and 37029. The biggest common factor number is the GCF number.
So the greatest common factor 37014 and 37029 is 3.

Also check out the Least Common Multiple of 37014 and 37029