What is the Greatest Common Factor of 89340 and 89348?

Greatest common factor (GCF) of 89340 and 89348 is 4.

GCF(89340,89348) = 4

We will now calculate the prime factors of 89340 and 89348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89340 and 89348.

How to find the GCF of 89340 and 89348?

We will first find the prime factorization of 89340 and 89348. After we will calculate the factors of 89340 and 89348 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 89348

Prime factors of 89348 are 2, 7, 3191. Prime factorization of 89348 in exponential form is:

89348 = 2² × 7¹ × 3191¹

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 89348

List of positive integer factors of 89348 that divides 89340 without a remainder.

1, 2, 4, 7, 14, 28, 3191, 6382, 12764, 22337, 44674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89340 and 89348. The biggest common factor number is the GCF number.
So the greatest common factor 89340 and 89348 is 4.

Also check out the Least Common Multiple of 89340 and 89348