What is the Greatest Common Factor of 58387 and 58406?

Greatest common factor (GCF) of 58387 and 58406 is 19.

GCF(58387,58406) = 19

We will now calculate the prime factors of 58387 and 58406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58387 and 58406.

How to find the GCF of 58387 and 58406?

We will first find the prime factorization of 58387 and 58406. After we will calculate the factors of 58387 and 58406 and find the biggest common factor number .

Step-1: Prime Factorization of 58387

Prime factors of 58387 are 7, 19, 439. Prime factorization of 58387 in exponential form is:

58387 = 7¹ × 19¹ × 439¹

Step-2: Prime Factorization of 58406

Prime factors of 58406 are 2, 19, 29, 53. Prime factorization of 58406 in exponential form is:

58406 = 2¹ × 19¹ × 29¹ × 53¹

Step-3: Factors of 58387

List of positive integer factors of 58387 that divides 58387 without a remainder.

1, 7, 19, 133, 439, 3073, 8341

Step-4: Factors of 58406

List of positive integer factors of 58406 that divides 58387 without a remainder.

1, 2, 19, 29, 38, 53, 58, 106, 551, 1007, 1102, 1537, 2014, 3074, 29203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58387 and 58406. The biggest common factor number is the GCF number.
So the greatest common factor 58387 and 58406 is 19.

Also check out the Least Common Multiple of 58387 and 58406