What is the Greatest Common Factor of 90948 and 90963?

Greatest common factor (GCF) of 90948 and 90963 is 3.

GCF(90948,90963) = 3

We will now calculate the prime factors of 90948 and 90963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90948 and 90963.

How to find the GCF of 90948 and 90963?

We will first find the prime factorization of 90948 and 90963. After we will calculate the factors of 90948 and 90963 and find the biggest common factor number .

Step-1: Prime Factorization of 90948

Prime factors of 90948 are 2, 3, 11, 13, 53. Prime factorization of 90948 in exponential form is:

90948 = 2² × 3¹ × 11¹ × 13¹ × 53¹

Step-2: Prime Factorization of 90963

Prime factors of 90963 are 3, 1123. Prime factorization of 90963 in exponential form is:

90963 = 3⁴ × 1123¹

Step-3: Factors of 90948

List of positive integer factors of 90948 that divides 90948 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 53, 66, 78, 106, 132, 143, 156, 159, 212, 286, 318, 429, 572, 583, 636, 689, 858, 1166, 1378, 1716, 1749, 2067, 2332, 2756, 3498, 4134, 6996, 7579, 8268, 15158, 22737, 30316, 45474

Step-4: Factors of 90963

List of positive integer factors of 90963 that divides 90948 without a remainder.

1, 3, 9, 27, 81, 1123, 3369, 10107, 30321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90948 and 90963. The biggest common factor number is the GCF number.
So the greatest common factor 90948 and 90963 is 3.

Also check out the Least Common Multiple of 90948 and 90963