What is the Greatest Common Factor of 90948 and 90952?

Greatest common factor (GCF) of 90948 and 90952 is 4.

GCF(90948,90952) = 4

We will now calculate the prime factors of 90948 and 90952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90948 and 90952.

How to find the GCF of 90948 and 90952?

We will first find the prime factorization of 90948 and 90952. After we will calculate the factors of 90948 and 90952 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 90952

Prime factors of 90952 are 2, 11369. Prime factorization of 90952 in exponential form is:

90952 = 2³ × 11369¹

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 90952

List of positive integer factors of 90952 that divides 90948 without a remainder.

1, 2, 4, 8, 11369, 22738, 45476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90948 and 90952. The biggest common factor number is the GCF number.
So the greatest common factor 90948 and 90952 is 4.

Also check out the Least Common Multiple of 90948 and 90952