What is the Greatest Common Factor of 34703 and 34710?

Greatest common factor (GCF) of 34703 and 34710 is 1.

GCF(34703,34710) = 1

We will now calculate the prime factors of 34703 and 34710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34703 and 34710.

How to find the GCF of 34703 and 34710?

We will first find the prime factorization of 34703 and 34710. After we will calculate the factors of 34703 and 34710 and find the biggest common factor number .

Step-1: Prime Factorization of 34703

Prime factors of 34703 are 34703. Prime factorization of 34703 in exponential form is:

34703 = 34703¹

Step-2: Prime Factorization of 34710

Prime factors of 34710 are 2, 3, 5, 13, 89. Prime factorization of 34710 in exponential form is:

34710 = 2¹ × 3¹ × 5¹ × 13¹ × 89¹

Step-3: Factors of 34703

List of positive integer factors of 34703 that divides 34703 without a remainder.

Step-4: Factors of 34710

List of positive integer factors of 34710 that divides 34703 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 89, 130, 178, 195, 267, 390, 445, 534, 890, 1157, 1335, 2314, 2670, 3471, 5785, 6942, 11570, 17355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34703 and 34710. The biggest common factor number is the GCF number.
So the greatest common factor 34703 and 34710 is 1.

Also check out the Least Common Multiple of 34703 and 34710