What is the Greatest Common Factor of 73810 and 73827?

Greatest common factor (GCF) of 73810 and 73827 is 1.

GCF(73810,73827) = 1

We will now calculate the prime factors of 73810 and 73827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73810 and 73827.

How to find the GCF of 73810 and 73827?

We will first find the prime factorization of 73810 and 73827. After we will calculate the factors of 73810 and 73827 and find the biggest common factor number .

Step-1: Prime Factorization of 73810

Prime factors of 73810 are 2, 5, 11, 61. Prime factorization of 73810 in exponential form is:

73810 = 2¹ × 5¹ × 11² × 61¹

Step-2: 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-3: Factors of 73810

List of positive integer factors of 73810 that divides 73810 without a remainder.

1, 2, 5, 10, 11, 22, 55, 61, 110, 121, 122, 242, 305, 605, 610, 671, 1210, 1342, 3355, 6710, 7381, 14762, 36905

Step-4: Factors of 73827

List of positive integer factors of 73827 that divides 73810 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73810 and 73827. The biggest common factor number is the GCF number.
So the greatest common factor 73810 and 73827 is 1.

Also check out the Least Common Multiple of 73810 and 73827