What is the Greatest Common Factor of 37443 and 37450?

Greatest common factor (GCF) of 37443 and 37450 is 7.

GCF(37443,37450) = 7

We will now calculate the prime factors of 37443 and 37450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37443 and 37450.

How to find the GCF of 37443 and 37450?

We will first find the prime factorization of 37443 and 37450. After we will calculate the factors of 37443 and 37450 and find the biggest common factor number .

Step-1: Prime Factorization of 37443

Prime factors of 37443 are 3, 7, 1783. Prime factorization of 37443 in exponential form is:

37443 = 3¹ × 7¹ × 1783¹

Step-2: Prime Factorization of 37450

Prime factors of 37450 are 2, 5, 7, 107. Prime factorization of 37450 in exponential form is:

37450 = 2¹ × 5² × 7¹ × 107¹

Step-3: Factors of 37443

List of positive integer factors of 37443 that divides 37443 without a remainder.

1, 3, 7, 21, 1783, 5349, 12481

Step-4: Factors of 37450

List of positive integer factors of 37450 that divides 37443 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 107, 175, 214, 350, 535, 749, 1070, 1498, 2675, 3745, 5350, 7490, 18725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37443 and 37450. The biggest common factor number is the GCF number.
So the greatest common factor 37443 and 37450 is 7.

Also check out the Least Common Multiple of 37443 and 37450