What is the Greatest Common Factor of 59136 and 59147?

Greatest common factor (GCF) of 59136 and 59147 is 11.

GCF(59136,59147) = 11

We will now calculate the prime factors of 59136 and 59147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59136 and 59147.

How to find the GCF of 59136 and 59147?

We will first find the prime factorization of 59136 and 59147. After we will calculate the factors of 59136 and 59147 and find the biggest common factor number .

Step-1: Prime Factorization of 59136

Prime factors of 59136 are 2, 3, 7, 11. Prime factorization of 59136 in exponential form is:

59136 = 2⁸ × 3¹ × 7¹ × 11¹

Step-2: Prime Factorization of 59147

Prime factors of 59147 are 11, 19, 283. Prime factorization of 59147 in exponential form is:

59147 = 11¹ × 19¹ × 283¹

Step-3: Factors of 59136

List of positive integer factors of 59136 that divides 59136 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 64, 66, 77, 84, 88, 96, 112, 128, 132, 154, 168, 176, 192, 224, 231, 256, 264, 308, 336, 352, 384, 448, 462, 528, 616, 672, 704, 768, 896, 924, 1056, 1232, 1344, 1408, 1792, 1848, 2112, 2464, 2688, 2816, 3696, 4224, 4928, 5376, 7392, 8448, 9856, 14784, 19712, 29568

Step-4: Factors of 59147

List of positive integer factors of 59147 that divides 59136 without a remainder.

1, 11, 19, 209, 283, 3113, 5377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59136 and 59147. The biggest common factor number is the GCF number.
So the greatest common factor 59136 and 59147 is 11.

Also check out the Least Common Multiple of 59136 and 59147