What is the Greatest Common Factor of 73854 and 73871?

Greatest common factor (GCF) of 73854 and 73871 is 1.

GCF(73854,73871) = 1

We will now calculate the prime factors of 73854 and 73871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73854 and 73871.

How to find the GCF of 73854 and 73871?

We will first find the prime factorization of 73854 and 73871. After we will calculate the factors of 73854 and 73871 and find the biggest common factor number .

Step-1: Prime Factorization of 73854

Prime factors of 73854 are 2, 3, 11, 373. Prime factorization of 73854 in exponential form is:

73854 = 2¹ × 3² × 11¹ × 373¹

Step-2: Prime Factorization of 73871

Prime factors of 73871 are 7, 61, 173. Prime factorization of 73871 in exponential form is:

73871 = 7¹ × 61¹ × 173¹

Step-3: Factors of 73854

List of positive integer factors of 73854 that divides 73854 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 373, 746, 1119, 2238, 3357, 4103, 6714, 8206, 12309, 24618, 36927

Step-4: Factors of 73871

List of positive integer factors of 73871 that divides 73854 without a remainder.

1, 7, 61, 173, 427, 1211, 10553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73854 and 73871. The biggest common factor number is the GCF number.
So the greatest common factor 73854 and 73871 is 1.

Also check out the Least Common Multiple of 73854 and 73871