What is the Greatest Common Factor of 90928 and 90942?

Greatest common factor (GCF) of 90928 and 90942 is 2.

GCF(90928,90942) = 2

We will now calculate the prime factors of 90928 and 90942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90928 and 90942.

How to find the GCF of 90928 and 90942?

We will first find the prime factorization of 90928 and 90942. After we will calculate the factors of 90928 and 90942 and find the biggest common factor number .

Step-1: Prime Factorization of 90928

Prime factors of 90928 are 2, 5683. Prime factorization of 90928 in exponential form is:

90928 = 2⁴ × 5683¹

Step-2: Prime Factorization of 90942

Prime factors of 90942 are 2, 3, 23, 659. Prime factorization of 90942 in exponential form is:

90942 = 2¹ × 3¹ × 23¹ × 659¹

Step-3: Factors of 90928

List of positive integer factors of 90928 that divides 90928 without a remainder.

1, 2, 4, 8, 16, 5683, 11366, 22732, 45464

Step-4: Factors of 90942

List of positive integer factors of 90942 that divides 90928 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 659, 1318, 1977, 3954, 15157, 30314, 45471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90928 and 90942. The biggest common factor number is the GCF number.
So the greatest common factor 90928 and 90942 is 2.

Also check out the Least Common Multiple of 90928 and 90942