What is the Greatest Common Factor of 92208 and 92225?

Greatest common factor (GCF) of 92208 and 92225 is 17.

GCF(92208,92225) = 17

We will now calculate the prime factors of 92208 and 92225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92208 and 92225.

How to find the GCF of 92208 and 92225?

We will first find the prime factorization of 92208 and 92225. After we will calculate the factors of 92208 and 92225 and find the biggest common factor number .

Step-1: Prime Factorization of 92208

Prime factors of 92208 are 2, 3, 17, 113. Prime factorization of 92208 in exponential form is:

92208 = 2⁴ × 3¹ × 17¹ × 113¹

Step-2: Prime Factorization of 92225

Prime factors of 92225 are 5, 7, 17, 31. Prime factorization of 92225 in exponential form is:

92225 = 5² × 7¹ × 17¹ × 31¹

Step-3: Factors of 92208

List of positive integer factors of 92208 that divides 92208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 113, 136, 204, 226, 272, 339, 408, 452, 678, 816, 904, 1356, 1808, 1921, 2712, 3842, 5424, 5763, 7684, 11526, 15368, 23052, 30736, 46104

Step-4: Factors of 92225

List of positive integer factors of 92225 that divides 92208 without a remainder.

1, 5, 7, 17, 25, 31, 35, 85, 119, 155, 175, 217, 425, 527, 595, 775, 1085, 2635, 2975, 3689, 5425, 13175, 18445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92208 and 92225. The biggest common factor number is the GCF number.
So the greatest common factor 92208 and 92225 is 17.

Also check out the Least Common Multiple of 92208 and 92225