What is the Greatest Common Factor of 90356 and 90362?

Greatest common factor (GCF) of 90356 and 90362 is 2.

GCF(90356,90362) = 2

We will now calculate the prime factors of 90356 and 90362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90356 and 90362.

How to find the GCF of 90356 and 90362?

We will first find the prime factorization of 90356 and 90362. After we will calculate the factors of 90356 and 90362 and find the biggest common factor number .

Step-1: Prime Factorization of 90356

Prime factors of 90356 are 2, 7, 461. Prime factorization of 90356 in exponential form is:

90356 = 2² × 7² × 461¹

Step-2: Prime Factorization of 90362

Prime factors of 90362 are 2, 45181. Prime factorization of 90362 in exponential form is:

90362 = 2¹ × 45181¹

Step-3: Factors of 90356

List of positive integer factors of 90356 that divides 90356 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 461, 922, 1844, 3227, 6454, 12908, 22589, 45178

Step-4: Factors of 90362

List of positive integer factors of 90362 that divides 90356 without a remainder.

1, 2, 45181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90356 and 90362. The biggest common factor number is the GCF number.
So the greatest common factor 90356 and 90362 is 2.

Also check out the Least Common Multiple of 90356 and 90362