What is the Greatest Common Factor of 71734 and 71739?

Greatest common factor (GCF) of 71734 and 71739 is 1.

GCF(71734,71739) = 1

We will now calculate the prime factors of 71734 and 71739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71734 and 71739.

How to find the GCF of 71734 and 71739?

We will first find the prime factorization of 71734 and 71739. After we will calculate the factors of 71734 and 71739 and find the biggest common factor number .

Step-1: Prime Factorization of 71734

Prime factors of 71734 are 2, 13, 31, 89. Prime factorization of 71734 in exponential form is:

71734 = 2¹ × 13¹ × 31¹ × 89¹

Step-2: Prime Factorization of 71739

Prime factors of 71739 are 3, 2657. Prime factorization of 71739 in exponential form is:

71739 = 3³ × 2657¹

Step-3: Factors of 71734

List of positive integer factors of 71734 that divides 71734 without a remainder.

1, 2, 13, 26, 31, 62, 89, 178, 403, 806, 1157, 2314, 2759, 5518, 35867

Step-4: Factors of 71739

List of positive integer factors of 71739 that divides 71734 without a remainder.

1, 3, 9, 27, 2657, 7971, 23913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71734 and 71739. The biggest common factor number is the GCF number.
So the greatest common factor 71734 and 71739 is 1.

Also check out the Least Common Multiple of 71734 and 71739