What is the Greatest Common Factor of 38520 and 38534?

Greatest common factor (GCF) of 38520 and 38534 is 2.

GCF(38520,38534) = 2

We will now calculate the prime factors of 38520 and 38534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38520 and 38534.

How to find the GCF of 38520 and 38534?

We will first find the prime factorization of 38520 and 38534. After we will calculate the factors of 38520 and 38534 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 38534

Prime factors of 38534 are 2, 19267. Prime factorization of 38534 in exponential form is:

38534 = 2¹ × 19267¹

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 38534

List of positive integer factors of 38534 that divides 38520 without a remainder.

1, 2, 19267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38520 and 38534. The biggest common factor number is the GCF number.
So the greatest common factor 38520 and 38534 is 2.

Also check out the Least Common Multiple of 38520 and 38534