What is the Greatest Common Factor of 89380 and 89390?

Greatest common factor (GCF) of 89380 and 89390 is 10.

GCF(89380,89390) = 10

We will now calculate the prime factors of 89380 and 89390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89380 and 89390.

How to find the GCF of 89380 and 89390?

We will first find the prime factorization of 89380 and 89390. After we will calculate the factors of 89380 and 89390 and find the biggest common factor number .

Step-1: Prime Factorization of 89380

Prime factors of 89380 are 2, 5, 41, 109. Prime factorization of 89380 in exponential form is:

89380 = 2² × 5¹ × 41¹ × 109¹

Step-2: Prime Factorization of 89390

Prime factors of 89390 are 2, 5, 7, 1277. Prime factorization of 89390 in exponential form is:

89390 = 2¹ × 5¹ × 7¹ × 1277¹

Step-3: Factors of 89380

List of positive integer factors of 89380 that divides 89380 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 109, 164, 205, 218, 410, 436, 545, 820, 1090, 2180, 4469, 8938, 17876, 22345, 44690

Step-4: Factors of 89390

List of positive integer factors of 89390 that divides 89380 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1277, 2554, 6385, 8939, 12770, 17878, 44695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89380 and 89390. The biggest common factor number is the GCF number.
So the greatest common factor 89380 and 89390 is 10.

Also check out the Least Common Multiple of 89380 and 89390