What is the Greatest Common Factor of 37742 and 37746?

Greatest common factor (GCF) of 37742 and 37746 is 2.

GCF(37742,37746) = 2

We will now calculate the prime factors of 37742 and 37746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37742 and 37746.

How to find the GCF of 37742 and 37746?

We will first find the prime factorization of 37742 and 37746. After we will calculate the factors of 37742 and 37746 and find the biggest common factor number .

Step-1: Prime Factorization of 37742

Prime factors of 37742 are 2, 113, 167. Prime factorization of 37742 in exponential form is:

37742 = 2¹ × 113¹ × 167¹

Step-2: 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-3: Factors of 37742

List of positive integer factors of 37742 that divides 37742 without a remainder.

1, 2, 113, 167, 226, 334, 18871

Step-4: Factors of 37746

List of positive integer factors of 37746 that divides 37742 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37742 and 37746. The biggest common factor number is the GCF number.
So the greatest common factor 37742 and 37746 is 2.

Also check out the Least Common Multiple of 37742 and 37746