What is the Greatest Common Factor of 62380 and 62390?

Greatest common factor (GCF) of 62380 and 62390 is 10.

GCF(62380,62390) = 10

We will now calculate the prime factors of 62380 and 62390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62380 and 62390.

How to find the GCF of 62380 and 62390?

We will first find the prime factorization of 62380 and 62390. After we will calculate the factors of 62380 and 62390 and find the biggest common factor number .

Step-1: Prime Factorization of 62380

Prime factors of 62380 are 2, 5, 3119. Prime factorization of 62380 in exponential form is:

62380 = 2² × 5¹ × 3119¹

Step-2: 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-3: Factors of 62380

List of positive integer factors of 62380 that divides 62380 without a remainder.

1, 2, 4, 5, 10, 20, 3119, 6238, 12476, 15595, 31190

Step-4: Factors of 62390

List of positive integer factors of 62390 that divides 62380 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62380 and 62390. The biggest common factor number is the GCF number.
So the greatest common factor 62380 and 62390 is 10.

Also check out the Least Common Multiple of 62380 and 62390