What is the Greatest Common Factor of 59136 and 59140?

Greatest common factor (GCF) of 59136 and 59140 is 4.

GCF(59136,59140) = 4

We will now calculate the prime factors of 59136 and 59140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59136 and 59140.

How to find the GCF of 59136 and 59140?

We will first find the prime factorization of 59136 and 59140. After we will calculate the factors of 59136 and 59140 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 59140

Prime factors of 59140 are 2, 5, 2957. Prime factorization of 59140 in exponential form is:

59140 = 2² × 5¹ × 2957¹

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 59140

List of positive integer factors of 59140 that divides 59136 without a remainder.

1, 2, 4, 5, 10, 20, 2957, 5914, 11828, 14785, 29570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59136 and 59140. The biggest common factor number is the GCF number.
So the greatest common factor 59136 and 59140 is 4.

Also check out the Least Common Multiple of 59136 and 59140