What is the Greatest Common Factor of 90939 and 90944?

Greatest common factor (GCF) of 90939 and 90944 is 1.

GCF(90939,90944) = 1

We will now calculate the prime factors of 90939 and 90944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90939 and 90944.

How to find the GCF of 90939 and 90944?

We will first find the prime factorization of 90939 and 90944. After we will calculate the factors of 90939 and 90944 and find the biggest common factor number .

Step-1: Prime Factorization of 90939

Prime factors of 90939 are 3, 30313. Prime factorization of 90939 in exponential form is:

90939 = 3¹ × 30313¹

Step-2: Prime Factorization of 90944

Prime factors of 90944 are 2, 7, 29. Prime factorization of 90944 in exponential form is:

90944 = 2⁶ × 7² × 29¹

Step-3: Factors of 90939

List of positive integer factors of 90939 that divides 90939 without a remainder.

1, 3, 30313

Step-4: Factors of 90944

List of positive integer factors of 90944 that divides 90939 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 49, 56, 58, 64, 98, 112, 116, 196, 203, 224, 232, 392, 406, 448, 464, 784, 812, 928, 1421, 1568, 1624, 1856, 2842, 3136, 3248, 5684, 6496, 11368, 12992, 22736, 45472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90939 and 90944. The biggest common factor number is the GCF number.
So the greatest common factor 90939 and 90944 is 1.

Also check out the Least Common Multiple of 90939 and 90944