What is the Greatest Common Factor of 59136 and 59151?

Greatest common factor (GCF) of 59136 and 59151 is 3.

GCF(59136,59151) = 3

We will now calculate the prime factors of 59136 and 59151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59136 and 59151.

How to find the GCF of 59136 and 59151?

We will first find the prime factorization of 59136 and 59151. After we will calculate the factors of 59136 and 59151 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 59151

Prime factors of 59151 are 3, 19717. Prime factorization of 59151 in exponential form is:

59151 = 3¹ × 19717¹

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 59151

List of positive integer factors of 59151 that divides 59136 without a remainder.

1, 3, 19717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59136 and 59151. The biggest common factor number is the GCF number.
So the greatest common factor 59136 and 59151 is 3.

Also check out the Least Common Multiple of 59136 and 59151