What is the Greatest Common Factor of 59125 and 59136?

Greatest common factor (GCF) of 59125 and 59136 is 11.

GCF(59125,59136) = 11

We will now calculate the prime factors of 59125 and 59136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59125 and 59136.

How to find the GCF of 59125 and 59136?

We will first find the prime factorization of 59125 and 59136. After we will calculate the factors of 59125 and 59136 and find the biggest common factor number .

Step-1: Prime Factorization of 59125

Prime factors of 59125 are 5, 11, 43. Prime factorization of 59125 in exponential form is:

59125 = 5³ × 11¹ × 43¹

Step-2: 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-3: Factors of 59125

List of positive integer factors of 59125 that divides 59125 without a remainder.

1, 5, 11, 25, 43, 55, 125, 215, 275, 473, 1075, 1375, 2365, 5375, 11825

Step-4: Factors of 59136

List of positive integer factors of 59136 that divides 59125 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59125 and 59136. The biggest common factor number is the GCF number.
So the greatest common factor 59125 and 59136 is 11.

Also check out the Least Common Multiple of 59125 and 59136