What is the Greatest Common Factor of 62320 and 62338?

Greatest common factor (GCF) of 62320 and 62338 is 2.

GCF(62320,62338) = 2

We will now calculate the prime factors of 62320 and 62338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62320 and 62338.

How to find the GCF of 62320 and 62338?

We will first find the prime factorization of 62320 and 62338. After we will calculate the factors of 62320 and 62338 and find the biggest common factor number .

Step-1: Prime Factorization of 62320

Prime factors of 62320 are 2, 5, 19, 41. Prime factorization of 62320 in exponential form is:

62320 = 2⁴ × 5¹ × 19¹ × 41¹

Step-2: Prime Factorization of 62338

Prime factors of 62338 are 2, 71, 439. Prime factorization of 62338 in exponential form is:

62338 = 2¹ × 71¹ × 439¹

Step-3: Factors of 62320

List of positive integer factors of 62320 that divides 62320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 41, 76, 80, 82, 95, 152, 164, 190, 205, 304, 328, 380, 410, 656, 760, 779, 820, 1520, 1558, 1640, 3116, 3280, 3895, 6232, 7790, 12464, 15580, 31160

Step-4: Factors of 62338

List of positive integer factors of 62338 that divides 62320 without a remainder.

1, 2, 71, 142, 439, 878, 31169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62320 and 62338. The biggest common factor number is the GCF number.
So the greatest common factor 62320 and 62338 is 2.

Also check out the Least Common Multiple of 62320 and 62338