What is the Greatest Common Factor of 37935 and 37946?

Greatest common factor (GCF) of 37935 and 37946 is 1.

GCF(37935,37946) = 1

We will now calculate the prime factors of 37935 and 37946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37935 and 37946.

How to find the GCF of 37935 and 37946?

We will first find the prime factorization of 37935 and 37946. After we will calculate the factors of 37935 and 37946 and find the biggest common factor number .

Step-1: Prime Factorization of 37935

Prime factors of 37935 are 3, 5, 281. Prime factorization of 37935 in exponential form is:

37935 = 3³ × 5¹ × 281¹

Step-2: Prime Factorization of 37946

Prime factors of 37946 are 2, 18973. Prime factorization of 37946 in exponential form is:

37946 = 2¹ × 18973¹

Step-3: Factors of 37935

List of positive integer factors of 37935 that divides 37935 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 281, 843, 1405, 2529, 4215, 7587, 12645

Step-4: Factors of 37946

List of positive integer factors of 37946 that divides 37935 without a remainder.

1, 2, 18973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37935 and 37946. The biggest common factor number is the GCF number.
So the greatest common factor 37935 and 37946 is 1.

Also check out the Least Common Multiple of 37935 and 37946