What is the Greatest Common Factor of 73827 and 73832?

Greatest common factor (GCF) of 73827 and 73832 is 1.

GCF(73827,73832) = 1

We will now calculate the prime factors of 73827 and 73832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73827 and 73832.

How to find the GCF of 73827 and 73832?

We will first find the prime factorization of 73827 and 73832. After we will calculate the factors of 73827 and 73832 and find the biggest common factor number .

Step-1: Prime Factorization of 73827

Prime factors of 73827 are 3, 13, 631. Prime factorization of 73827 in exponential form is:

73827 = 3² × 13¹ × 631¹

Step-2: Prime Factorization of 73832

Prime factors of 73832 are 2, 11, 839. Prime factorization of 73832 in exponential form is:

73832 = 2³ × 11¹ × 839¹

Step-3: Factors of 73827

List of positive integer factors of 73827 that divides 73827 without a remainder.

1, 3, 9, 13, 39, 117, 631, 1893, 5679, 8203, 24609

Step-4: Factors of 73832

List of positive integer factors of 73832 that divides 73827 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 839, 1678, 3356, 6712, 9229, 18458, 36916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73827 and 73832. The biggest common factor number is the GCF number.
So the greatest common factor 73827 and 73832 is 1.

Also check out the Least Common Multiple of 73827 and 73832