What is the Greatest Common Factor of 61248 and 61264?

Greatest common factor (GCF) of 61248 and 61264 is 16.

GCF(61248,61264) = 16

We will now calculate the prime factors of 61248 and 61264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61248 and 61264.

How to find the GCF of 61248 and 61264?

We will first find the prime factorization of 61248 and 61264. After we will calculate the factors of 61248 and 61264 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 61264

Prime factors of 61264 are 2, 7, 547. Prime factorization of 61264 in exponential form is:

61264 = 2⁴ × 7¹ × 547¹

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 61264

List of positive integer factors of 61264 that divides 61248 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 547, 1094, 2188, 3829, 4376, 7658, 8752, 15316, 30632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61248 and 61264. The biggest common factor number is the GCF number.
So the greatest common factor 61248 and 61264 is 16.

Also check out the Least Common Multiple of 61248 and 61264