What is the Greatest Common Factor of 89220 and 89225?

Greatest common factor (GCF) of 89220 and 89225 is 5.

GCF(89220,89225) = 5

We will now calculate the prime factors of 89220 and 89225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89220 and 89225.

How to find the GCF of 89220 and 89225?

We will first find the prime factorization of 89220 and 89225. After we will calculate the factors of 89220 and 89225 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 89225

Prime factors of 89225 are 5, 43, 83. Prime factorization of 89225 in exponential form is:

89225 = 5² × 43¹ × 83¹

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 89225

List of positive integer factors of 89225 that divides 89220 without a remainder.

1, 5, 25, 43, 83, 215, 415, 1075, 2075, 3569, 17845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89220 and 89225. The biggest common factor number is the GCF number.
So the greatest common factor 89220 and 89225 is 5.

Also check out the Least Common Multiple of 89220 and 89225