What is the Greatest Common Factor of 61233 and 61248?

Greatest common factor (GCF) of 61233 and 61248 is 3.

GCF(61233,61248) = 3

We will now calculate the prime factors of 61233 and 61248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61233 and 61248.

How to find the GCF of 61233 and 61248?

We will first find the prime factorization of 61233 and 61248. After we will calculate the factors of 61233 and 61248 and find the biggest common factor number .

Step-1: Prime Factorization of 61233

Prime factors of 61233 are 3, 20411. Prime factorization of 61233 in exponential form is:

61233 = 3¹ × 20411¹

Step-2: Prime Factorization of 61248

Prime factors of 61248 are 2, 3, 11, 29. Prime factorization of 61248 in exponential form is:

61248 = 2⁶ × 3¹ × 11¹ × 29¹

Step-3: Factors of 61233

List of positive integer factors of 61233 that divides 61233 without a remainder.

1, 3, 20411

Step-4: Factors of 61248

List of positive integer factors of 61248 that divides 61233 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 29, 32, 33, 44, 48, 58, 64, 66, 87, 88, 96, 116, 132, 174, 176, 192, 232, 264, 319, 348, 352, 464, 528, 638, 696, 704, 928, 957, 1056, 1276, 1392, 1856, 1914, 2112, 2552, 2784, 3828, 5104, 5568, 7656, 10208, 15312, 20416, 30624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61233 and 61248. The biggest common factor number is the GCF number.
So the greatest common factor 61233 and 61248 is 3.

Also check out the Least Common Multiple of 61233 and 61248