What is the Greatest Common Factor of 92520 and 92535?

Greatest common factor (GCF) of 92520 and 92535 is 15.

GCF(92520,92535) = 15

We will now calculate the prime factors of 92520 and 92535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92520 and 92535.

How to find the GCF of 92520 and 92535?

We will first find the prime factorization of 92520 and 92535. After we will calculate the factors of 92520 and 92535 and find the biggest common factor number .

Step-1: Prime Factorization of 92520

Prime factors of 92520 are 2, 3, 5, 257. Prime factorization of 92520 in exponential form is:

92520 = 2³ × 3² × 5¹ × 257¹

Step-2: Prime Factorization of 92535

Prime factors of 92535 are 3, 5, 31, 199. Prime factorization of 92535 in exponential form is:

92535 = 3¹ × 5¹ × 31¹ × 199¹

Step-3: Factors of 92520

List of positive integer factors of 92520 that divides 92520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 257, 360, 514, 771, 1028, 1285, 1542, 2056, 2313, 2570, 3084, 3855, 4626, 5140, 6168, 7710, 9252, 10280, 11565, 15420, 18504, 23130, 30840, 46260

Step-4: Factors of 92535

List of positive integer factors of 92535 that divides 92520 without a remainder.

1, 3, 5, 15, 31, 93, 155, 199, 465, 597, 995, 2985, 6169, 18507, 30845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92520 and 92535. The biggest common factor number is the GCF number.
So the greatest common factor 92520 and 92535 is 15.

Also check out the Least Common Multiple of 92520 and 92535