What is the Greatest Common Factor of 84380 and 84390?

Greatest common factor (GCF) of 84380 and 84390 is 10.

GCF(84380,84390) = 10

We will now calculate the prime factors of 84380 and 84390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84380 and 84390.

How to find the GCF of 84380 and 84390?

We will first find the prime factorization of 84380 and 84390. After we will calculate the factors of 84380 and 84390 and find the biggest common factor number .

Step-1: Prime Factorization of 84380

Prime factors of 84380 are 2, 5, 4219. Prime factorization of 84380 in exponential form is:

84380 = 2² × 5¹ × 4219¹

Step-2: Prime Factorization of 84390

Prime factors of 84390 are 2, 3, 5, 29, 97. Prime factorization of 84390 in exponential form is:

84390 = 2¹ × 3¹ × 5¹ × 29¹ × 97¹

Step-3: Factors of 84380

List of positive integer factors of 84380 that divides 84380 without a remainder.

1, 2, 4, 5, 10, 20, 4219, 8438, 16876, 21095, 42190

Step-4: Factors of 84390

List of positive integer factors of 84390 that divides 84380 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 97, 145, 174, 194, 290, 291, 435, 485, 582, 870, 970, 1455, 2813, 2910, 5626, 8439, 14065, 16878, 28130, 42195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84380 and 84390. The biggest common factor number is the GCF number.
So the greatest common factor 84380 and 84390 is 10.

Also check out the Least Common Multiple of 84380 and 84390