What is the Greatest Common Factor of 69225 and 69245?

Greatest common factor (GCF) of 69225 and 69245 is 5.

GCF(69225,69245) = 5

We will now calculate the prime factors of 69225 and 69245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69225 and 69245.

How to find the GCF of 69225 and 69245?

We will first find the prime factorization of 69225 and 69245. After we will calculate the factors of 69225 and 69245 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 69245

Prime factors of 69245 are 5, 11, 1259. Prime factorization of 69245 in exponential form is:

69245 = 5¹ × 11¹ × 1259¹

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 69245

List of positive integer factors of 69245 that divides 69225 without a remainder.

1, 5, 11, 55, 1259, 6295, 13849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69225 and 69245. The biggest common factor number is the GCF number.
So the greatest common factor 69225 and 69245 is 5.

Also check out the Least Common Multiple of 69225 and 69245