What is the Greatest Common Factor of 61248 and 61260?

Greatest common factor (GCF) of 61248 and 61260 is 12.

GCF(61248,61260) = 12

We will now calculate the prime factors of 61248 and 61260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61248 and 61260.

How to find the GCF of 61248 and 61260?

We will first find the prime factorization of 61248 and 61260. After we will calculate the factors of 61248 and 61260 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61260

Prime factors of 61260 are 2, 3, 5, 1021. Prime factorization of 61260 in exponential form is:

61260 = 2² × 3¹ × 5¹ × 1021¹

Step-3: Factors of 61248

List of positive integer factors of 61248 that divides 61248 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

Step-4: Factors of 61260

List of positive integer factors of 61260 that divides 61248 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1021, 2042, 3063, 4084, 5105, 6126, 10210, 12252, 15315, 20420, 30630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61248 and 61260. The biggest common factor number is the GCF number.
So the greatest common factor 61248 and 61260 is 12.

Also check out the Least Common Multiple of 61248 and 61260