What is the Greatest Common Factor of 90829 and 90838?

Greatest common factor (GCF) of 90829 and 90838 is 1.

GCF(90829,90838) = 1

We will now calculate the prime factors of 90829 and 90838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90829 and 90838.

How to find the GCF of 90829 and 90838?

We will first find the prime factorization of 90829 and 90838. After we will calculate the factors of 90829 and 90838 and find the biggest common factor number .

Step-1: Prime Factorization of 90829

Prime factors of 90829 are 61, 1489. Prime factorization of 90829 in exponential form is:

90829 = 61¹ × 1489¹

Step-2: Prime Factorization of 90838

Prime factors of 90838 are 2, 11, 4129. Prime factorization of 90838 in exponential form is:

90838 = 2¹ × 11¹ × 4129¹

Step-3: Factors of 90829

List of positive integer factors of 90829 that divides 90829 without a remainder.

1, 61, 1489

Step-4: Factors of 90838

List of positive integer factors of 90838 that divides 90829 without a remainder.

1, 2, 11, 22, 4129, 8258, 45419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90829 and 90838. The biggest common factor number is the GCF number.
So the greatest common factor 90829 and 90838 is 1.

Also check out the Least Common Multiple of 90829 and 90838