What is the Greatest Common Factor of 37945 and 37950?

Greatest common factor (GCF) of 37945 and 37950 is 5.

GCF(37945,37950) = 5

We will now calculate the prime factors of 37945 and 37950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37945 and 37950.

How to find the GCF of 37945 and 37950?

We will first find the prime factorization of 37945 and 37950. After we will calculate the factors of 37945 and 37950 and find the biggest common factor number .

Step-1: Prime Factorization of 37945

Prime factors of 37945 are 5, 7589. Prime factorization of 37945 in exponential form is:

37945 = 5¹ × 7589¹

Step-2: 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-3: Factors of 37945

List of positive integer factors of 37945 that divides 37945 without a remainder.

1, 5, 7589

Step-4: Factors of 37950

List of positive integer factors of 37950 that divides 37945 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37945 and 37950. The biggest common factor number is the GCF number.
So the greatest common factor 37945 and 37950 is 5.

Also check out the Least Common Multiple of 37945 and 37950