What is the Greatest Common Factor of 90948 and 90959?

Greatest common factor (GCF) of 90948 and 90959 is 11.

GCF(90948,90959) = 11

We will now calculate the prime factors of 90948 and 90959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90948 and 90959.

How to find the GCF of 90948 and 90959?

We will first find the prime factorization of 90948 and 90959. After we will calculate the factors of 90948 and 90959 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 90959

Prime factors of 90959 are 11, 8269. Prime factorization of 90959 in exponential form is:

90959 = 11¹ × 8269¹

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 90959

List of positive integer factors of 90959 that divides 90948 without a remainder.

1, 11, 8269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90948 and 90959. The biggest common factor number is the GCF number.
So the greatest common factor 90948 and 90959 is 11.

Also check out the Least Common Multiple of 90948 and 90959