What is the Greatest Common Factor of 59730 and 59735?

Greatest common factor (GCF) of 59730 and 59735 is 5.

GCF(59730,59735) = 5

We will now calculate the prime factors of 59730 and 59735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59730 and 59735.

How to find the GCF of 59730 and 59735?

We will first find the prime factorization of 59730 and 59735. After we will calculate the factors of 59730 and 59735 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 59735

Prime factors of 59735 are 5, 13, 919. Prime factorization of 59735 in exponential form is:

59735 = 5¹ × 13¹ × 919¹

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 59735

List of positive integer factors of 59735 that divides 59730 without a remainder.

1, 5, 13, 65, 919, 4595, 11947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59730 and 59735. The biggest common factor number is the GCF number.
So the greatest common factor 59730 and 59735 is 5.

Also check out the Least Common Multiple of 59730 and 59735