What is the Greatest Common Factor of 90546 and 90552?

Greatest common factor (GCF) of 90546 and 90552 is 6.

GCF(90546,90552) = 6

We will now calculate the prime factors of 90546 and 90552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90546 and 90552.

How to find the GCF of 90546 and 90552?

We will first find the prime factorization of 90546 and 90552. After we will calculate the factors of 90546 and 90552 and find the biggest common factor number .

Step-1: Prime Factorization of 90546

Prime factors of 90546 are 2, 3, 15091. Prime factorization of 90546 in exponential form is:

90546 = 2¹ × 3¹ × 15091¹

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 90546

List of positive integer factors of 90546 that divides 90546 without a remainder.

1, 2, 3, 6, 15091, 30182, 45273

Step-4: Factors of 90552

List of positive integer factors of 90552 that divides 90546 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 90546 and 90552. The biggest common factor number is the GCF number.
So the greatest common factor 90546 and 90552 is 6.

Also check out the Least Common Multiple of 90546 and 90552