What is the Greatest Common Factor of 38720 and 38731?

Greatest common factor (GCF) of 38720 and 38731 is 11.

GCF(38720,38731) = 11

We will now calculate the prime factors of 38720 and 38731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38720 and 38731.

How to find the GCF of 38720 and 38731?

We will first find the prime factorization of 38720 and 38731. After we will calculate the factors of 38720 and 38731 and find the biggest common factor number .

Step-1: Prime Factorization of 38720

Prime factors of 38720 are 2, 5, 11. Prime factorization of 38720 in exponential form is:

38720 = 2⁶ × 5¹ × 11²

Step-2: Prime Factorization of 38731

Prime factors of 38731 are 7, 11, 503. Prime factorization of 38731 in exponential form is:

38731 = 7¹ × 11¹ × 503¹

Step-3: Factors of 38720

List of positive integer factors of 38720 that divides 38720 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 121, 160, 176, 220, 242, 320, 352, 440, 484, 605, 704, 880, 968, 1210, 1760, 1936, 2420, 3520, 3872, 4840, 7744, 9680, 19360

Step-4: Factors of 38731

List of positive integer factors of 38731 that divides 38720 without a remainder.

1, 7, 11, 77, 503, 3521, 5533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38720 and 38731. The biggest common factor number is the GCF number.
So the greatest common factor 38720 and 38731 is 11.

Also check out the Least Common Multiple of 38720 and 38731