What is the Greatest Common Factor of 59466 and 59477?

Greatest common factor (GCF) of 59466 and 59477 is 11.

GCF(59466,59477) = 11

We will now calculate the prime factors of 59466 and 59477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59466 and 59477.

How to find the GCF of 59466 and 59477?

We will first find the prime factorization of 59466 and 59477. After we will calculate the factors of 59466 and 59477 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 59477

Prime factors of 59477 are 11, 5407. Prime factorization of 59477 in exponential form is:

59477 = 11¹ × 5407¹

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 59477

List of positive integer factors of 59477 that divides 59466 without a remainder.

1, 11, 5407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59466 and 59477. The biggest common factor number is the GCF number.
So the greatest common factor 59466 and 59477 is 11.

Also check out the Least Common Multiple of 59466 and 59477