What is the Greatest Common Factor of 86380 and 86390?

Greatest common factor (GCF) of 86380 and 86390 is 10.

GCF(86380,86390) = 10

We will now calculate the prime factors of 86380 and 86390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86380 and 86390.

How to find the GCF of 86380 and 86390?

We will first find the prime factorization of 86380 and 86390. After we will calculate the factors of 86380 and 86390 and find the biggest common factor number .

Step-1: Prime Factorization of 86380

Prime factors of 86380 are 2, 5, 7, 617. Prime factorization of 86380 in exponential form is:

86380 = 2² × 5¹ × 7¹ × 617¹

Step-2: Prime Factorization of 86390

Prime factors of 86390 are 2, 5, 53, 163. Prime factorization of 86390 in exponential form is:

86390 = 2¹ × 5¹ × 53¹ × 163¹

Step-3: Factors of 86380

List of positive integer factors of 86380 that divides 86380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 617, 1234, 2468, 3085, 4319, 6170, 8638, 12340, 17276, 21595, 43190

Step-4: Factors of 86390

List of positive integer factors of 86390 that divides 86380 without a remainder.

1, 2, 5, 10, 53, 106, 163, 265, 326, 530, 815, 1630, 8639, 17278, 43195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86380 and 86390. The biggest common factor number is the GCF number.
So the greatest common factor 86380 and 86390 is 10.

Also check out the Least Common Multiple of 86380 and 86390