What is the Greatest Common Factor of 37950 and 37962?

Greatest common factor (GCF) of 37950 and 37962 is 6.

GCF(37950,37962) = 6

We will now calculate the prime factors of 37950 and 37962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37950 and 37962.

How to find the GCF of 37950 and 37962?

We will first find the prime factorization of 37950 and 37962. After we will calculate the factors of 37950 and 37962 and find the biggest common factor number .

Step-1: Prime Factorization of 37950

Prime factors of 37950 are 2, 3, 5, 11, 23. Prime factorization of 37950 in exponential form is:

37950 = 2¹ × 3¹ × 5² × 11¹ × 23¹

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 37950

List of positive integer factors of 37950 that divides 37950 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 25, 30, 33, 46, 50, 55, 66, 69, 75, 110, 115, 138, 150, 165, 230, 253, 275, 330, 345, 506, 550, 575, 690, 759, 825, 1150, 1265, 1518, 1650, 1725, 2530, 3450, 3795, 6325, 7590, 12650, 18975

Step-4: Factors of 37962

List of positive integer factors of 37962 that divides 37950 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 37950 and 37962. The biggest common factor number is the GCF number.
So the greatest common factor 37950 and 37962 is 6.

Also check out the Least Common Multiple of 37950 and 37962