What is the Greatest Common Factor of 89340 and 89345?

Greatest common factor (GCF) of 89340 and 89345 is 5.

GCF(89340,89345) = 5

We will now calculate the prime factors of 89340 and 89345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89340 and 89345.

How to find the GCF of 89340 and 89345?

We will first find the prime factorization of 89340 and 89345. After we will calculate the factors of 89340 and 89345 and find the biggest common factor number .

Step-1: Prime Factorization of 89340

Prime factors of 89340 are 2, 3, 5, 1489. Prime factorization of 89340 in exponential form is:

89340 = 2² × 3¹ × 5¹ × 1489¹

Step-2: Prime Factorization of 89345

Prime factors of 89345 are 5, 107, 167. Prime factorization of 89345 in exponential form is:

89345 = 5¹ × 107¹ × 167¹

Step-3: Factors of 89340

List of positive integer factors of 89340 that divides 89340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1489, 2978, 4467, 5956, 7445, 8934, 14890, 17868, 22335, 29780, 44670

Step-4: Factors of 89345

List of positive integer factors of 89345 that divides 89340 without a remainder.

1, 5, 107, 167, 535, 835, 17869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89340 and 89345. The biggest common factor number is the GCF number.
So the greatest common factor 89340 and 89345 is 5.

Also check out the Least Common Multiple of 89340 and 89345