What is the Greatest Common Factor of 62390 and 62407?

Greatest common factor (GCF) of 62390 and 62407 is 17.

GCF(62390,62407) = 17

We will now calculate the prime factors of 62390 and 62407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62390 and 62407.

How to find the GCF of 62390 and 62407?

We will first find the prime factorization of 62390 and 62407. After we will calculate the factors of 62390 and 62407 and find the biggest common factor number .

Step-1: Prime Factorization of 62390

Prime factors of 62390 are 2, 5, 17, 367. Prime factorization of 62390 in exponential form is:

62390 = 2¹ × 5¹ × 17¹ × 367¹

Step-2: Prime Factorization of 62407

Prime factors of 62407 are 17, 3671. Prime factorization of 62407 in exponential form is:

62407 = 17¹ × 3671¹

Step-3: Factors of 62390

List of positive integer factors of 62390 that divides 62390 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 367, 734, 1835, 3670, 6239, 12478, 31195

Step-4: Factors of 62407

List of positive integer factors of 62407 that divides 62390 without a remainder.

1, 17, 3671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62390 and 62407. The biggest common factor number is the GCF number.
So the greatest common factor 62390 and 62407 is 17.

Also check out the Least Common Multiple of 62390 and 62407