What is the Greatest Common Factor of 38520 and 38524?

Greatest common factor (GCF) of 38520 and 38524 is 4.

GCF(38520,38524) = 4

We will now calculate the prime factors of 38520 and 38524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38520 and 38524.

How to find the GCF of 38520 and 38524?

We will first find the prime factorization of 38520 and 38524. After we will calculate the factors of 38520 and 38524 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 38524

Prime factors of 38524 are 2, 9631. Prime factorization of 38524 in exponential form is:

38524 = 2² × 9631¹

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 38524

List of positive integer factors of 38524 that divides 38520 without a remainder.

1, 2, 4, 9631, 19262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38520 and 38524. The biggest common factor number is the GCF number.
So the greatest common factor 38520 and 38524 is 4.

Also check out the Least Common Multiple of 38520 and 38524