What is the Greatest Common Factor of 90728 and 90742?

Greatest common factor (GCF) of 90728 and 90742 is 2.

GCF(90728,90742) = 2

We will now calculate the prime factors of 90728 and 90742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90728 and 90742.

How to find the GCF of 90728 and 90742?

We will first find the prime factorization of 90728 and 90742. After we will calculate the factors of 90728 and 90742 and find the biggest common factor number .

Step-1: Prime Factorization of 90728

Prime factors of 90728 are 2, 11, 1031. Prime factorization of 90728 in exponential form is:

90728 = 2³ × 11¹ × 1031¹

Step-2: Prime Factorization of 90742

Prime factors of 90742 are 2, 59, 769. Prime factorization of 90742 in exponential form is:

90742 = 2¹ × 59¹ × 769¹

Step-3: Factors of 90728

List of positive integer factors of 90728 that divides 90728 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1031, 2062, 4124, 8248, 11341, 22682, 45364

Step-4: Factors of 90742

List of positive integer factors of 90742 that divides 90728 without a remainder.

1, 2, 59, 118, 769, 1538, 45371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90728 and 90742. The biggest common factor number is the GCF number.
So the greatest common factor 90728 and 90742 is 2.

Also check out the Least Common Multiple of 90728 and 90742