What is the Greatest Common Factor of 27821 and 27840?

Greatest common factor (GCF) of 27821 and 27840 is 1.

GCF(27821,27840) = 1

We will now calculate the prime factors of 27821 and 27840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27821 and 27840.

How to find the GCF of 27821 and 27840?

We will first find the prime factorization of 27821 and 27840. After we will calculate the factors of 27821 and 27840 and find the biggest common factor number .

Step-1: Prime Factorization of 27821

Prime factors of 27821 are 43, 647. Prime factorization of 27821 in exponential form is:

27821 = 43¹ × 647¹

Step-2: Prime Factorization of 27840

Prime factors of 27840 are 2, 3, 5, 29. Prime factorization of 27840 in exponential form is:

27840 = 2⁶ × 3¹ × 5¹ × 29¹

Step-3: Factors of 27821

List of positive integer factors of 27821 that divides 27821 without a remainder.

1, 43, 647

Step-4: Factors of 27840

List of positive integer factors of 27840 that divides 27821 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 32, 40, 48, 58, 60, 64, 80, 87, 96, 116, 120, 145, 160, 174, 192, 232, 240, 290, 320, 348, 435, 464, 480, 580, 696, 870, 928, 960, 1160, 1392, 1740, 1856, 2320, 2784, 3480, 4640, 5568, 6960, 9280, 13920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27821 and 27840. The biggest common factor number is the GCF number.
So the greatest common factor 27821 and 27840 is 1.

Also check out the Least Common Multiple of 27821 and 27840