What is the Greatest Common Factor of 90537 and 90552?

Greatest common factor (GCF) of 90537 and 90552 is 3.

GCF(90537,90552) = 3

We will now calculate the prime factors of 90537 and 90552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90537 and 90552.

How to find the GCF of 90537 and 90552?

We will first find the prime factorization of 90537 and 90552. After we will calculate the factors of 90537 and 90552 and find the biggest common factor number .

Step-1: Prime Factorization of 90537

Prime factors of 90537 are 3, 103, 293. Prime factorization of 90537 in exponential form is:

90537 = 3¹ × 103¹ × 293¹

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 90537

List of positive integer factors of 90537 that divides 90537 without a remainder.

1, 3, 103, 293, 309, 879, 30179

Step-4: Factors of 90552

List of positive integer factors of 90552 that divides 90537 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 90537 and 90552. The biggest common factor number is the GCF number.
So the greatest common factor 90537 and 90552 is 3.

Also check out the Least Common Multiple of 90537 and 90552