What is the Greatest Common Factor of 37946 and 37962?

Greatest common factor (GCF) of 37946 and 37962 is 2.

GCF(37946,37962) = 2

We will now calculate the prime factors of 37946 and 37962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37946 and 37962.

How to find the GCF of 37946 and 37962?

We will first find the prime factorization of 37946 and 37962. After we will calculate the factors of 37946 and 37962 and find the biggest common factor number .

Step-1: Prime Factorization of 37946

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

37946 = 2¹ × 18973¹

Step-2: Prime Factorization of 37962

Prime factors of 37962 are 2, 3, 19, 37. Prime factorization of 37962 in exponential form is:

37962 = 2¹ × 3³ × 19¹ × 37¹

Step-3: Factors of 37946

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

1, 2, 18973

Step-4: Factors of 37962

List of positive integer factors of 37962 that divides 37946 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 37, 38, 54, 57, 74, 111, 114, 171, 222, 333, 342, 513, 666, 703, 999, 1026, 1406, 1998, 2109, 4218, 6327, 12654, 18981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37946 and 37962. The biggest common factor number is the GCF number.
So the greatest common factor 37946 and 37962 is 2.

Also check out the Least Common Multiple of 37946 and 37962