What is the Greatest Common Factor of 37450 and 37463?

Greatest common factor (GCF) of 37450 and 37463 is 1.

GCF(37450,37463) = 1

We will now calculate the prime factors of 37450 and 37463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37450 and 37463.

How to find the GCF of 37450 and 37463?

We will first find the prime factorization of 37450 and 37463. After we will calculate the factors of 37450 and 37463 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37463

Prime factors of 37463 are 37463. Prime factorization of 37463 in exponential form is:

37463 = 37463¹

Step-3: Factors of 37450

List of positive integer factors of 37450 that divides 37450 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

Step-4: Factors of 37463

List of positive integer factors of 37463 that divides 37450 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37450 and 37463. The biggest common factor number is the GCF number.
So the greatest common factor 37450 and 37463 is 1.

Also check out the Least Common Multiple of 37450 and 37463