What is the Greatest Common Factor of 37716 and 37734?

Greatest common factor (GCF) of 37716 and 37734 is 6.

GCF(37716,37734) = 6

We will now calculate the prime factors of 37716 and 37734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37716 and 37734.

How to find the GCF of 37716 and 37734?

We will first find the prime factorization of 37716 and 37734. After we will calculate the factors of 37716 and 37734 and find the biggest common factor number .

Step-1: Prime Factorization of 37716

Prime factors of 37716 are 2, 3, 7, 449. Prime factorization of 37716 in exponential form is:

37716 = 2² × 3¹ × 7¹ × 449¹

Step-2: Prime Factorization of 37734

Prime factors of 37734 are 2, 3, 19, 331. Prime factorization of 37734 in exponential form is:

37734 = 2¹ × 3¹ × 19¹ × 331¹

Step-3: Factors of 37716

List of positive integer factors of 37716 that divides 37716 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 449, 898, 1347, 1796, 2694, 3143, 5388, 6286, 9429, 12572, 18858

Step-4: Factors of 37734

List of positive integer factors of 37734 that divides 37716 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 331, 662, 993, 1986, 6289, 12578, 18867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37716 and 37734. The biggest common factor number is the GCF number.
So the greatest common factor 37716 and 37734 is 6.

Also check out the Least Common Multiple of 37716 and 37734