What is the Greatest Common Factor of 71743 and 71754?

Greatest common factor (GCF) of 71743 and 71754 is 1.

GCF(71743,71754) = 1

We will now calculate the prime factors of 71743 and 71754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71743 and 71754.

How to find the GCF of 71743 and 71754?

We will first find the prime factorization of 71743 and 71754. After we will calculate the factors of 71743 and 71754 and find the biggest common factor number .

Step-1: Prime Factorization of 71743

Prime factors of 71743 are 7, 37, 277. Prime factorization of 71743 in exponential form is:

71743 = 7¹ × 37¹ × 277¹

Step-2: Prime Factorization of 71754

Prime factors of 71754 are 2, 3, 11959. Prime factorization of 71754 in exponential form is:

71754 = 2¹ × 3¹ × 11959¹

Step-3: Factors of 71743

List of positive integer factors of 71743 that divides 71743 without a remainder.

1, 7, 37, 259, 277, 1939, 10249

Step-4: Factors of 71754

List of positive integer factors of 71754 that divides 71743 without a remainder.

1, 2, 3, 6, 11959, 23918, 35877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71743 and 71754. The biggest common factor number is the GCF number.
So the greatest common factor 71743 and 71754 is 1.

Also check out the Least Common Multiple of 71743 and 71754