What is the Greatest Common Factor of 90650 and 90670?

Greatest common factor (GCF) of 90650 and 90670 is 10.

GCF(90650,90670) = 10

We will now calculate the prime factors of 90650 and 90670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90650 and 90670.

How to find the GCF of 90650 and 90670?

We will first find the prime factorization of 90650 and 90670. After we will calculate the factors of 90650 and 90670 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90670

Prime factors of 90670 are 2, 5, 9067. Prime factorization of 90670 in exponential form is:

90670 = 2¹ × 5¹ × 9067¹

Step-3: Factors of 90650

List of positive integer factors of 90650 that divides 90650 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

Step-4: Factors of 90670

List of positive integer factors of 90670 that divides 90650 without a remainder.

1, 2, 5, 10, 9067, 18134, 45335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90650 and 90670. The biggest common factor number is the GCF number.
So the greatest common factor 90650 and 90670 is 10.

Also check out the Least Common Multiple of 90650 and 90670