What is the Greatest Common Factor of 90022 and 90041?

Greatest common factor (GCF) of 90022 and 90041 is 19.

GCF(90022,90041) = 19

We will now calculate the prime factors of 90022 and 90041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90022 and 90041.

How to find the GCF of 90022 and 90041?

We will first find the prime factorization of 90022 and 90041. After we will calculate the factors of 90022 and 90041 and find the biggest common factor number .

Step-1: Prime Factorization of 90022

Prime factors of 90022 are 2, 19, 23, 103. Prime factorization of 90022 in exponential form is:

90022 = 2¹ × 19¹ × 23¹ × 103¹

Step-2: Prime Factorization of 90041

Prime factors of 90041 are 7, 19, 677. Prime factorization of 90041 in exponential form is:

90041 = 7¹ × 19¹ × 677¹

Step-3: Factors of 90022

List of positive integer factors of 90022 that divides 90022 without a remainder.

1, 2, 19, 23, 38, 46, 103, 206, 437, 874, 1957, 2369, 3914, 4738, 45011

Step-4: Factors of 90041

List of positive integer factors of 90041 that divides 90022 without a remainder.

1, 7, 19, 133, 677, 4739, 12863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90022 and 90041. The biggest common factor number is the GCF number.
So the greatest common factor 90022 and 90041 is 19.

Also check out the Least Common Multiple of 90022 and 90041