What is the Greatest Common Factor of 37758 and 37767?

Greatest common factor (GCF) of 37758 and 37767 is 3.

GCF(37758,37767) = 3

We will now calculate the prime factors of 37758 and 37767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37758 and 37767.

How to find the GCF of 37758 and 37767?

We will first find the prime factorization of 37758 and 37767. After we will calculate the factors of 37758 and 37767 and find the biggest common factor number .

Step-1: Prime Factorization of 37758

Prime factors of 37758 are 2, 3, 7, 29, 31. Prime factorization of 37758 in exponential form is:

37758 = 2¹ × 3¹ × 7¹ × 29¹ × 31¹

Step-2: Prime Factorization of 37767

Prime factors of 37767 are 3, 12589. Prime factorization of 37767 in exponential form is:

37767 = 3¹ × 12589¹

Step-3: Factors of 37758

List of positive integer factors of 37758 that divides 37758 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 31, 42, 58, 62, 87, 93, 174, 186, 203, 217, 406, 434, 609, 651, 899, 1218, 1302, 1798, 2697, 5394, 6293, 12586, 18879

Step-4: Factors of 37767

List of positive integer factors of 37767 that divides 37758 without a remainder.

1, 3, 12589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37758 and 37767. The biggest common factor number is the GCF number.
So the greatest common factor 37758 and 37767 is 3.

Also check out the Least Common Multiple of 37758 and 37767