What is the Greatest Common Factor of 90637 and 90650?

Greatest common factor (GCF) of 90637 and 90650 is 1.

GCF(90637,90650) = 1

We will now calculate the prime factors of 90637 and 90650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90637 and 90650.

How to find the GCF of 90637 and 90650?

We will first find the prime factorization of 90637 and 90650. After we will calculate the factors of 90637 and 90650 and find the biggest common factor number .

Step-1: Prime Factorization of 90637

Prime factors of 90637 are 233, 389. Prime factorization of 90637 in exponential form is:

90637 = 233¹ × 389¹

Step-2: Prime Factorization of 90650

Prime factors of 90650 are 2, 5, 7, 37. Prime factorization of 90650 in exponential form is:

90650 = 2¹ × 5² × 7² × 37¹

Step-3: Factors of 90637

List of positive integer factors of 90637 that divides 90637 without a remainder.

1, 233, 389

Step-4: Factors of 90650

List of positive integer factors of 90650 that divides 90637 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 37, 49, 50, 70, 74, 98, 175, 185, 245, 259, 350, 370, 490, 518, 925, 1225, 1295, 1813, 1850, 2450, 2590, 3626, 6475, 9065, 12950, 18130, 45325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90637 and 90650. The biggest common factor number is the GCF number.
So the greatest common factor 90637 and 90650 is 1.

Also check out the Least Common Multiple of 90637 and 90650