What is the Greatest Common Factor of 90538 and 90552?

Greatest common factor (GCF) of 90538 and 90552 is 14.

GCF(90538,90552) = 14

We will now calculate the prime factors of 90538 and 90552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90538 and 90552.

How to find the GCF of 90538 and 90552?

We will first find the prime factorization of 90538 and 90552. After we will calculate the factors of 90538 and 90552 and find the biggest common factor number .

Step-1: Prime Factorization of 90538

Prime factors of 90538 are 2, 7, 29, 223. Prime factorization of 90538 in exponential form is:

90538 = 2¹ × 7¹ × 29¹ × 223¹

Step-2: Prime Factorization of 90552

Prime factors of 90552 are 2, 3, 7, 11. Prime factorization of 90552 in exponential form is:

90552 = 2³ × 3¹ × 7³ × 11¹

Step-3: Factors of 90538

List of positive integer factors of 90538 that divides 90538 without a remainder.

1, 2, 7, 14, 29, 58, 203, 223, 406, 446, 1561, 3122, 6467, 12934, 45269

Step-4: Factors of 90552

List of positive integer factors of 90552 that divides 90538 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 49, 56, 66, 77, 84, 88, 98, 132, 147, 154, 168, 196, 231, 264, 294, 308, 343, 392, 462, 539, 588, 616, 686, 924, 1029, 1078, 1176, 1372, 1617, 1848, 2058, 2156, 2744, 3234, 3773, 4116, 4312, 6468, 7546, 8232, 11319, 12936, 15092, 22638, 30184, 45276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90538 and 90552. The biggest common factor number is the GCF number.
So the greatest common factor 90538 and 90552 is 14.

Also check out the Least Common Multiple of 90538 and 90552