What is the Greatest Common Factor of 59430 and 59435?

Greatest common factor (GCF) of 59430 and 59435 is 5.

GCF(59430,59435) = 5

We will now calculate the prime factors of 59430 and 59435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59430 and 59435.

How to find the GCF of 59430 and 59435?

We will first find the prime factorization of 59430 and 59435. After we will calculate the factors of 59430 and 59435 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59435

Prime factors of 59435 are 5, 11887. Prime factorization of 59435 in exponential form is:

59435 = 5¹ × 11887¹

Step-3: Factors of 59430

List of positive integer factors of 59430 that divides 59430 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

Step-4: Factors of 59435

List of positive integer factors of 59435 that divides 59430 without a remainder.

1, 5, 11887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59430 and 59435. The biggest common factor number is the GCF number.
So the greatest common factor 59430 and 59435 is 5.

Also check out the Least Common Multiple of 59430 and 59435