What is the Greatest Common Factor of 90935 and 90948?

Greatest common factor (GCF) of 90935 and 90948 is 13.

GCF(90935,90948) = 13

We will now calculate the prime factors of 90935 and 90948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90935 and 90948.

How to find the GCF of 90935 and 90948?

We will first find the prime factorization of 90935 and 90948. After we will calculate the factors of 90935 and 90948 and find the biggest common factor number .

Step-1: Prime Factorization of 90935

Prime factors of 90935 are 5, 13, 1399. Prime factorization of 90935 in exponential form is:

90935 = 5¹ × 13¹ × 1399¹

Step-2: 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-3: Factors of 90935

List of positive integer factors of 90935 that divides 90935 without a remainder.

1, 5, 13, 65, 1399, 6995, 18187

Step-4: Factors of 90948

List of positive integer factors of 90948 that divides 90935 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90935 and 90948. The biggest common factor number is the GCF number.
So the greatest common factor 90935 and 90948 is 13.

Also check out the Least Common Multiple of 90935 and 90948