What is the Greatest Common Factor of 61237 and 61248?

Greatest common factor (GCF) of 61237 and 61248 is 11.

GCF(61237,61248) = 11

We will now calculate the prime factors of 61237 and 61248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61237 and 61248.

How to find the GCF of 61237 and 61248?

We will first find the prime factorization of 61237 and 61248. After we will calculate the factors of 61237 and 61248 and find the biggest common factor number .

Step-1: Prime Factorization of 61237

Prime factors of 61237 are 11, 19, 293. Prime factorization of 61237 in exponential form is:

61237 = 11¹ × 19¹ × 293¹

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 61237

List of positive integer factors of 61237 that divides 61237 without a remainder.

1, 11, 19, 209, 293, 3223, 5567

Step-4: Factors of 61248

List of positive integer factors of 61248 that divides 61237 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 61237 and 61248. The biggest common factor number is the GCF number.
So the greatest common factor 61237 and 61248 is 11.

Also check out the Least Common Multiple of 61237 and 61248