What is the Greatest Common Factor of 90722 and 90728?

Greatest common factor (GCF) of 90722 and 90728 is 2.

GCF(90722,90728) = 2

We will now calculate the prime factors of 90722 and 90728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90722 and 90728.

How to find the GCF of 90722 and 90728?

We will first find the prime factorization of 90722 and 90728. After we will calculate the factors of 90722 and 90728 and find the biggest common factor number .

Step-1: Prime Factorization of 90722

Prime factors of 90722 are 2, 45361. Prime factorization of 90722 in exponential form is:

90722 = 2¹ × 45361¹

Step-2: 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-3: Factors of 90722

List of positive integer factors of 90722 that divides 90722 without a remainder.

1, 2, 45361

Step-4: Factors of 90728

List of positive integer factors of 90728 that divides 90722 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90722 and 90728. The biggest common factor number is the GCF number.
So the greatest common factor 90722 and 90728 is 2.

Also check out the Least Common Multiple of 90722 and 90728