What is the Greatest Common Factor of 90988 and 90994?

Greatest common factor (GCF) of 90988 and 90994 is 2.

GCF(90988,90994) = 2

We will now calculate the prime factors of 90988 and 90994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90988 and 90994.

How to find the GCF of 90988 and 90994?

We will first find the prime factorization of 90988 and 90994. After we will calculate the factors of 90988 and 90994 and find the biggest common factor number .

Step-1: Prime Factorization of 90988

Prime factors of 90988 are 2, 23, 43. Prime factorization of 90988 in exponential form is:

90988 = 2² × 23² × 43¹

Step-2: Prime Factorization of 90994

Prime factors of 90994 are 2, 45497. Prime factorization of 90994 in exponential form is:

90994 = 2¹ × 45497¹

Step-3: Factors of 90988

List of positive integer factors of 90988 that divides 90988 without a remainder.

1, 2, 4, 23, 43, 46, 86, 92, 172, 529, 989, 1058, 1978, 2116, 3956, 22747, 45494

Step-4: Factors of 90994

List of positive integer factors of 90994 that divides 90988 without a remainder.

1, 2, 45497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90988 and 90994. The biggest common factor number is the GCF number.
So the greatest common factor 90988 and 90994 is 2.

Also check out the Least Common Multiple of 90988 and 90994