What is the Greatest Common Factor of 38910 and 38920?

Greatest common factor (GCF) of 38910 and 38920 is 10.

GCF(38910,38920) = 10

We will now calculate the prime factors of 38910 and 38920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38910 and 38920.

How to find the GCF of 38910 and 38920?

We will first find the prime factorization of 38910 and 38920. After we will calculate the factors of 38910 and 38920 and find the biggest common factor number .

Step-1: Prime Factorization of 38910

Prime factors of 38910 are 2, 3, 5, 1297. Prime factorization of 38910 in exponential form is:

38910 = 2¹ × 3¹ × 5¹ × 1297¹

Step-2: Prime Factorization of 38920

Prime factors of 38920 are 2, 5, 7, 139. Prime factorization of 38920 in exponential form is:

38920 = 2³ × 5¹ × 7¹ × 139¹

Step-3: Factors of 38910

List of positive integer factors of 38910 that divides 38910 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1297, 2594, 3891, 6485, 7782, 12970, 19455

Step-4: Factors of 38920

List of positive integer factors of 38920 that divides 38910 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 139, 140, 278, 280, 556, 695, 973, 1112, 1390, 1946, 2780, 3892, 4865, 5560, 7784, 9730, 19460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38910 and 38920. The biggest common factor number is the GCF number.
So the greatest common factor 38910 and 38920 is 10.

Also check out the Least Common Multiple of 38910 and 38920