What is the Greatest Common Factor of 37950 and 37960?

Greatest common factor (GCF) of 37950 and 37960 is 10.

GCF(37950,37960) = 10

We will now calculate the prime factors of 37950 and 37960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37950 and 37960.

How to find the GCF of 37950 and 37960?

We will first find the prime factorization of 37950 and 37960. After we will calculate the factors of 37950 and 37960 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 37960

Prime factors of 37960 are 2, 5, 13, 73. Prime factorization of 37960 in exponential form is:

37960 = 2³ × 5¹ × 13¹ × 73¹

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 37960

List of positive integer factors of 37960 that divides 37950 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 73, 104, 130, 146, 260, 292, 365, 520, 584, 730, 949, 1460, 1898, 2920, 3796, 4745, 7592, 9490, 18980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37950 and 37960. The biggest common factor number is the GCF number.
So the greatest common factor 37950 and 37960 is 10.

Also check out the Least Common Multiple of 37950 and 37960