What is the Greatest Common Factor of 69225 and 69235?

Greatest common factor (GCF) of 69225 and 69235 is 5.

GCF(69225,69235) = 5

We will now calculate the prime factors of 69225 and 69235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69225 and 69235.

How to find the GCF of 69225 and 69235?

We will first find the prime factorization of 69225 and 69235. After we will calculate the factors of 69225 and 69235 and find the biggest common factor number .

Step-1: Prime Factorization of 69225

Prime factors of 69225 are 3, 5, 13, 71. Prime factorization of 69225 in exponential form is:

69225 = 3¹ × 5² × 13¹ × 71¹

Step-2: Prime Factorization of 69235

Prime factors of 69235 are 5, 61, 227. Prime factorization of 69235 in exponential form is:

69235 = 5¹ × 61¹ × 227¹

Step-3: Factors of 69225

List of positive integer factors of 69225 that divides 69225 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 71, 75, 195, 213, 325, 355, 923, 975, 1065, 1775, 2769, 4615, 5325, 13845, 23075

Step-4: Factors of 69235

List of positive integer factors of 69235 that divides 69225 without a remainder.

1, 5, 61, 227, 305, 1135, 13847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69225 and 69235. The biggest common factor number is the GCF number.
So the greatest common factor 69225 and 69235 is 5.

Also check out the Least Common Multiple of 69225 and 69235