What is the Greatest Common Factor of 90948 and 90961?

Greatest common factor (GCF) of 90948 and 90961 is 13.

GCF(90948,90961) = 13

We will now calculate the prime factors of 90948 and 90961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90948 and 90961.

How to find the GCF of 90948 and 90961?

We will first find the prime factorization of 90948 and 90961. After we will calculate the factors of 90948 and 90961 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 90961

Prime factors of 90961 are 13, 6997. Prime factorization of 90961 in exponential form is:

90961 = 13¹ × 6997¹

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 90961

List of positive integer factors of 90961 that divides 90948 without a remainder.

1, 13, 6997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90948 and 90961. The biggest common factor number is the GCF number.
So the greatest common factor 90948 and 90961 is 13.

Also check out the Least Common Multiple of 90948 and 90961