What is the Greatest Common Factor of 59410 and 59430?

Greatest common factor (GCF) of 59410 and 59430 is 10.

GCF(59410,59430) = 10

We will now calculate the prime factors of 59410 and 59430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59410 and 59430.

How to find the GCF of 59410 and 59430?

We will first find the prime factorization of 59410 and 59430. After we will calculate the factors of 59410 and 59430 and find the biggest common factor number .

Step-1: Prime Factorization of 59410

Prime factors of 59410 are 2, 5, 13, 457. Prime factorization of 59410 in exponential form is:

59410 = 2¹ × 5¹ × 13¹ × 457¹

Step-2: Prime Factorization of 59430

Prime factors of 59430 are 2, 3, 5, 7, 283. Prime factorization of 59430 in exponential form is:

59430 = 2¹ × 3¹ × 5¹ × 7¹ × 283¹

Step-3: Factors of 59410

List of positive integer factors of 59410 that divides 59410 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 457, 914, 2285, 4570, 5941, 11882, 29705

Step-4: Factors of 59430

List of positive integer factors of 59430 that divides 59410 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 283, 566, 849, 1415, 1698, 1981, 2830, 3962, 4245, 5943, 8490, 9905, 11886, 19810, 29715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59410 and 59430. The biggest common factor number is the GCF number.
So the greatest common factor 59410 and 59430 is 10.

Also check out the Least Common Multiple of 59410 and 59430