What is the Greatest Common Factor of 90552 and 90567?

Greatest common factor (GCF) of 90552 and 90567 is 3.

GCF(90552,90567) = 3

We will now calculate the prime factors of 90552 and 90567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90552 and 90567.

How to find the GCF of 90552 and 90567?

We will first find the prime factorization of 90552 and 90567. After we will calculate the factors of 90552 and 90567 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90567

Prime factors of 90567 are 3, 29, 347. Prime factorization of 90567 in exponential form is:

90567 = 3² × 29¹ × 347¹

Step-3: Factors of 90552

List of positive integer factors of 90552 that divides 90552 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

Step-4: Factors of 90567

List of positive integer factors of 90567 that divides 90552 without a remainder.

1, 3, 9, 29, 87, 261, 347, 1041, 3123, 10063, 30189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90552 and 90567. The biggest common factor number is the GCF number.
So the greatest common factor 90552 and 90567 is 3.

Also check out the Least Common Multiple of 90552 and 90567