What is the Greatest Common Factor of 90477 and 90492?

Greatest common factor (GCF) of 90477 and 90492 is 3.

GCF(90477,90492) = 3

We will now calculate the prime factors of 90477 and 90492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90477 and 90492.

How to find the GCF of 90477 and 90492?

We will first find the prime factorization of 90477 and 90492. After we will calculate the factors of 90477 and 90492 and find the biggest common factor number .

Step-1: Prime Factorization of 90477

Prime factors of 90477 are 3, 1117. Prime factorization of 90477 in exponential form is:

90477 = 3⁴ × 1117¹

Step-2: Prime Factorization of 90492

Prime factors of 90492 are 2, 3, 7541. Prime factorization of 90492 in exponential form is:

90492 = 2² × 3¹ × 7541¹

Step-3: Factors of 90477

List of positive integer factors of 90477 that divides 90477 without a remainder.

1, 3, 9, 27, 81, 1117, 3351, 10053, 30159

Step-4: Factors of 90492

List of positive integer factors of 90492 that divides 90477 without a remainder.

1, 2, 3, 4, 6, 12, 7541, 15082, 22623, 30164, 45246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90477 and 90492. The biggest common factor number is the GCF number.
So the greatest common factor 90477 and 90492 is 3.

Also check out the Least Common Multiple of 90477 and 90492