What is the Greatest Common Factor of 3827 and 3840?

Greatest common factor (GCF) of 3827 and 3840 is 1.

GCF(3827,3840) = 1

We will now calculate the prime factors of 3827 and 3840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3827 and 3840.

How to find the GCF of 3827 and 3840?

We will first find the prime factorization of 3827 and 3840. After we will calculate the factors of 3827 and 3840 and find the biggest common factor number .

Step-1: Prime Factorization of 3827

Prime factors of 3827 are 43, 89. Prime factorization of 3827 in exponential form is:

3827 = 43¹ × 89¹

Step-2: Prime Factorization of 3840

Prime factors of 3840 are 2, 3, 5. Prime factorization of 3840 in exponential form is:

3840 = 2⁸ × 3¹ × 5¹

Step-3: Factors of 3827

List of positive integer factors of 3827 that divides 3827 without a remainder.

1, 43, 89

Step-4: Factors of 3840

List of positive integer factors of 3840 that divides 3827 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3827 and 3840. The biggest common factor number is the GCF number.
So the greatest common factor 3827 and 3840 is 1.

Also check out the Least Common Multiple of 3827 and 3840