What is the Greatest Common Factor of 89220 and 89235?

Greatest common factor (GCF) of 89220 and 89235 is 15.

GCF(89220,89235) = 15

We will now calculate the prime factors of 89220 and 89235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89220 and 89235.

How to find the GCF of 89220 and 89235?

We will first find the prime factorization of 89220 and 89235. After we will calculate the factors of 89220 and 89235 and find the biggest common factor number .

Step-1: Prime Factorization of 89220

Prime factors of 89220 are 2, 3, 5, 1487. Prime factorization of 89220 in exponential form is:

89220 = 2² × 3¹ × 5¹ × 1487¹

Step-2: Prime Factorization of 89235

Prime factors of 89235 are 3, 5, 661. Prime factorization of 89235 in exponential form is:

89235 = 3³ × 5¹ × 661¹

Step-3: Factors of 89220

List of positive integer factors of 89220 that divides 89220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1487, 2974, 4461, 5948, 7435, 8922, 14870, 17844, 22305, 29740, 44610

Step-4: Factors of 89235

List of positive integer factors of 89235 that divides 89220 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 661, 1983, 3305, 5949, 9915, 17847, 29745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89220 and 89235. The biggest common factor number is the GCF number.
So the greatest common factor 89220 and 89235 is 15.

Also check out the Least Common Multiple of 89220 and 89235