What is the Greatest Common Factor of 59466 and 59472?

Greatest common factor (GCF) of 59466 and 59472 is 6.

GCF(59466,59472) = 6

We will now calculate the prime factors of 59466 and 59472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59466 and 59472.

How to find the GCF of 59466 and 59472?

We will first find the prime factorization of 59466 and 59472. After we will calculate the factors of 59466 and 59472 and find the biggest common factor number .

Step-1: Prime Factorization of 59466

Prime factors of 59466 are 2, 3, 11, 17, 53. Prime factorization of 59466 in exponential form is:

59466 = 2¹ × 3¹ × 11¹ × 17¹ × 53¹

Step-2: Prime Factorization of 59472

Prime factors of 59472 are 2, 3, 7, 59. Prime factorization of 59472 in exponential form is:

59472 = 2⁴ × 3² × 7¹ × 59¹

Step-3: Factors of 59466

List of positive integer factors of 59466 that divides 59466 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 53, 66, 102, 106, 159, 187, 318, 374, 561, 583, 901, 1122, 1166, 1749, 1802, 2703, 3498, 5406, 9911, 19822, 29733

Step-4: Factors of 59472

List of positive integer factors of 59472 that divides 59466 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 59, 63, 72, 84, 112, 118, 126, 144, 168, 177, 236, 252, 336, 354, 413, 472, 504, 531, 708, 826, 944, 1008, 1062, 1239, 1416, 1652, 2124, 2478, 2832, 3304, 3717, 4248, 4956, 6608, 7434, 8496, 9912, 14868, 19824, 29736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59466 and 59472. The biggest common factor number is the GCF number.
So the greatest common factor 59466 and 59472 is 6.

Also check out the Least Common Multiple of 59466 and 59472