What is the Greatest Common Factor of 37746 and 37766?

Greatest common factor (GCF) of 37746 and 37766 is 2.

GCF(37746,37766) = 2

We will now calculate the prime factors of 37746 and 37766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37746 and 37766.

How to find the GCF of 37746 and 37766?

We will first find the prime factorization of 37746 and 37766. After we will calculate the factors of 37746 and 37766 and find the biggest common factor number .

Step-1: Prime Factorization of 37746

Prime factors of 37746 are 2, 3, 233. Prime factorization of 37746 in exponential form is:

37746 = 2¹ × 3⁴ × 233¹

Step-2: Prime Factorization of 37766

Prime factors of 37766 are 2, 23, 821. Prime factorization of 37766 in exponential form is:

37766 = 2¹ × 23¹ × 821¹

Step-3: Factors of 37746

List of positive integer factors of 37746 that divides 37746 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 233, 466, 699, 1398, 2097, 4194, 6291, 12582, 18873

Step-4: Factors of 37766

List of positive integer factors of 37766 that divides 37746 without a remainder.

1, 2, 23, 46, 821, 1642, 18883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37746 and 37766. The biggest common factor number is the GCF number.
So the greatest common factor 37746 and 37766 is 2.

Also check out the Least Common Multiple of 37746 and 37766