What is the Greatest Common Factor of 59710 and 59730?

Greatest common factor (GCF) of 59710 and 59730 is 10.

GCF(59710,59730) = 10

We will now calculate the prime factors of 59710 and 59730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59710 and 59730.

How to find the GCF of 59710 and 59730?

We will first find the prime factorization of 59710 and 59730. After we will calculate the factors of 59710 and 59730 and find the biggest common factor number .

Step-1: Prime Factorization of 59710

Prime factors of 59710 are 2, 5, 7, 853. Prime factorization of 59710 in exponential form is:

59710 = 2¹ × 5¹ × 7¹ × 853¹

Step-2: 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-3: Factors of 59710

List of positive integer factors of 59710 that divides 59710 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 853, 1706, 4265, 5971, 8530, 11942, 29855

Step-4: Factors of 59730

List of positive integer factors of 59730 that divides 59710 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59710 and 59730. The biggest common factor number is the GCF number.
So the greatest common factor 59710 and 59730 is 10.

Also check out the Least Common Multiple of 59710 and 59730