What is the Greatest Common Factor of 38520 and 38535?

Greatest common factor (GCF) of 38520 and 38535 is 15.

GCF(38520,38535) = 15

We will now calculate the prime factors of 38520 and 38535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38520 and 38535.

How to find the GCF of 38520 and 38535?

We will first find the prime factorization of 38520 and 38535. After we will calculate the factors of 38520 and 38535 and find the biggest common factor number .

Step-1: Prime Factorization of 38520

Prime factors of 38520 are 2, 3, 5, 107. Prime factorization of 38520 in exponential form is:

38520 = 2³ × 3² × 5¹ × 107¹

Step-2: Prime Factorization of 38535

Prime factors of 38535 are 3, 5, 7, 367. Prime factorization of 38535 in exponential form is:

38535 = 3¹ × 5¹ × 7¹ × 367¹

Step-3: Factors of 38520

List of positive integer factors of 38520 that divides 38520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 107, 120, 180, 214, 321, 360, 428, 535, 642, 856, 963, 1070, 1284, 1605, 1926, 2140, 2568, 3210, 3852, 4280, 4815, 6420, 7704, 9630, 12840, 19260

Step-4: Factors of 38535

List of positive integer factors of 38535 that divides 38520 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 367, 1101, 1835, 2569, 5505, 7707, 12845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38520 and 38535. The biggest common factor number is the GCF number.
So the greatest common factor 38520 and 38535 is 15.

Also check out the Least Common Multiple of 38520 and 38535