What is the Greatest Common Factor of 38520 and 38530?

Greatest common factor (GCF) of 38520 and 38530 is 10.

GCF(38520,38530) = 10

We will now calculate the prime factors of 38520 and 38530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38520 and 38530.

How to find the GCF of 38520 and 38530?

We will first find the prime factorization of 38520 and 38530. After we will calculate the factors of 38520 and 38530 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 38530

Prime factors of 38530 are 2, 5, 3853. Prime factorization of 38530 in exponential form is:

38530 = 2¹ × 5¹ × 3853¹

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 38530

List of positive integer factors of 38530 that divides 38520 without a remainder.

1, 2, 5, 10, 3853, 7706, 19265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38520 and 38530. The biggest common factor number is the GCF number.
So the greatest common factor 38520 and 38530 is 10.

Also check out the Least Common Multiple of 38520 and 38530