What is the Greatest Common Factor of 89225 and 89240?

Greatest common factor (GCF) of 89225 and 89240 is 5.

GCF(89225,89240) = 5

We will now calculate the prime factors of 89225 and 89240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89225 and 89240.

How to find the GCF of 89225 and 89240?

We will first find the prime factorization of 89225 and 89240. After we will calculate the factors of 89225 and 89240 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89240

Prime factors of 89240 are 2, 5, 23, 97. Prime factorization of 89240 in exponential form is:

89240 = 2³ × 5¹ × 23¹ × 97¹

Step-3: Factors of 89225

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

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

Step-4: Factors of 89240

List of positive integer factors of 89240 that divides 89225 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 97, 115, 184, 194, 230, 388, 460, 485, 776, 920, 970, 1940, 2231, 3880, 4462, 8924, 11155, 17848, 22310, 44620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89225 and 89240. The biggest common factor number is the GCF number.
So the greatest common factor 89225 and 89240 is 5.

Also check out the Least Common Multiple of 89225 and 89240