What is the Greatest Common Factor of 90746 and 90764?

Greatest common factor (GCF) of 90746 and 90764 is 2.

GCF(90746,90764) = 2

We will now calculate the prime factors of 90746 and 90764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90746 and 90764.

How to find the GCF of 90746 and 90764?

We will first find the prime factorization of 90746 and 90764. After we will calculate the factors of 90746 and 90764 and find the biggest common factor number .

Step-1: Prime Factorization of 90746

Prime factors of 90746 are 2, 17, 157. Prime factorization of 90746 in exponential form is:

90746 = 2¹ × 17² × 157¹

Step-2: Prime Factorization of 90764

Prime factors of 90764 are 2, 22691. Prime factorization of 90764 in exponential form is:

90764 = 2² × 22691¹

Step-3: Factors of 90746

List of positive integer factors of 90746 that divides 90746 without a remainder.

1, 2, 17, 34, 157, 289, 314, 578, 2669, 5338, 45373

Step-4: Factors of 90764

List of positive integer factors of 90764 that divides 90746 without a remainder.

1, 2, 4, 22691, 45382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90746 and 90764. The biggest common factor number is the GCF number.
So the greatest common factor 90746 and 90764 is 2.

Also check out the Least Common Multiple of 90746 and 90764