What is the Greatest Common Factor of 59730 and 59741?

Greatest common factor (GCF) of 59730 and 59741 is 11.

GCF(59730,59741) = 11

We will now calculate the prime factors of 59730 and 59741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59730 and 59741.

How to find the GCF of 59730 and 59741?

We will first find the prime factorization of 59730 and 59741. After we will calculate the factors of 59730 and 59741 and find the biggest common factor number .

Step-1: Prime Factorization of 59730

Prime factors of 59730 are 2, 3, 5, 11, 181. Prime factorization of 59730 in exponential form is:

59730 = 2¹ × 3¹ × 5¹ × 11¹ × 181¹

Step-2: Prime Factorization of 59741

Prime factors of 59741 are 11, 5431. Prime factorization of 59741 in exponential form is:

59741 = 11¹ × 5431¹

Step-3: Factors of 59730

List of positive integer factors of 59730 that divides 59730 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 181, 330, 362, 543, 905, 1086, 1810, 1991, 2715, 3982, 5430, 5973, 9955, 11946, 19910, 29865

Step-4: Factors of 59741

List of positive integer factors of 59741 that divides 59730 without a remainder.

1, 11, 5431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59730 and 59741. The biggest common factor number is the GCF number.
So the greatest common factor 59730 and 59741 is 11.

Also check out the Least Common Multiple of 59730 and 59741