What is the Greatest Common Factor of 89380 and 89387?

Greatest common factor (GCF) of 89380 and 89387 is 1.

GCF(89380,89387) = 1

We will now calculate the prime factors of 89380 and 89387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89380 and 89387.

How to find the GCF of 89380 and 89387?

We will first find the prime factorization of 89380 and 89387. After we will calculate the factors of 89380 and 89387 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 89387

Prime factors of 89387 are 89387. Prime factorization of 89387 in exponential form is:

89387 = 89387¹

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 89387

List of positive integer factors of 89387 that divides 89380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89380 and 89387. The biggest common factor number is the GCF number.
So the greatest common factor 89380 and 89387 is 1.

Also check out the Least Common Multiple of 89380 and 89387