What is the Greatest Common Factor of 92565 and 92575?

Greatest common factor (GCF) of 92565 and 92575 is 5.

GCF(92565,92575) = 5

We will now calculate the prime factors of 92565 and 92575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92565 and 92575.

How to find the GCF of 92565 and 92575?

We will first find the prime factorization of 92565 and 92575. After we will calculate the factors of 92565 and 92575 and find the biggest common factor number .

Step-1: Prime Factorization of 92565

Prime factors of 92565 are 3, 5, 11, 17. Prime factorization of 92565 in exponential form is:

92565 = 3² × 5¹ × 11² × 17¹

Step-2: Prime Factorization of 92575

Prime factors of 92575 are 5, 7, 23. Prime factorization of 92575 in exponential form is:

92575 = 5² × 7¹ × 23²

Step-3: Factors of 92565

List of positive integer factors of 92565 that divides 92565 without a remainder.

1, 3, 5, 9, 11, 15, 17, 33, 45, 51, 55, 85, 99, 121, 153, 165, 187, 255, 363, 495, 561, 605, 765, 935, 1089, 1683, 1815, 2057, 2805, 5445, 6171, 8415, 10285, 18513, 30855

Step-4: Factors of 92575

List of positive integer factors of 92575 that divides 92565 without a remainder.

1, 5, 7, 23, 25, 35, 115, 161, 175, 529, 575, 805, 2645, 3703, 4025, 13225, 18515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92565 and 92575. The biggest common factor number is the GCF number.
So the greatest common factor 92565 and 92575 is 5.

Also check out the Least Common Multiple of 92565 and 92575