What is the Greatest Common Factor of 90649 and 90668?

Greatest common factor (GCF) of 90649 and 90668 is 19.

GCF(90649,90668) = 19

We will now calculate the prime factors of 90649 and 90668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90649 and 90668.

How to find the GCF of 90649 and 90668?

We will first find the prime factorization of 90649 and 90668. After we will calculate the factors of 90649 and 90668 and find the biggest common factor number .

Step-1: Prime Factorization of 90649

Prime factors of 90649 are 13, 19, 367. Prime factorization of 90649 in exponential form is:

90649 = 13¹ × 19¹ × 367¹

Step-2: Prime Factorization of 90668

Prime factors of 90668 are 2, 19, 1193. Prime factorization of 90668 in exponential form is:

90668 = 2² × 19¹ × 1193¹

Step-3: Factors of 90649

List of positive integer factors of 90649 that divides 90649 without a remainder.

1, 13, 19, 247, 367, 4771, 6973

Step-4: Factors of 90668

List of positive integer factors of 90668 that divides 90649 without a remainder.

1, 2, 4, 19, 38, 76, 1193, 2386, 4772, 22667, 45334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90649 and 90668. The biggest common factor number is the GCF number.
So the greatest common factor 90649 and 90668 is 19.

Also check out the Least Common Multiple of 90649 and 90668