What is the Greatest Common Factor of 70683 and 70703?

Greatest common factor (GCF) of 70683 and 70703 is 1.

GCF(70683,70703) = 1

We will now calculate the prime factors of 70683 and 70703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70683 and 70703.

How to find the GCF of 70683 and 70703?

We will first find the prime factorization of 70683 and 70703. After we will calculate the factors of 70683 and 70703 and find the biggest common factor number .

Step-1: Prime Factorization of 70683

Prime factors of 70683 are 3, 23561. Prime factorization of 70683 in exponential form is:

70683 = 3¹ × 23561¹

Step-2: Prime Factorization of 70703

Prime factors of 70703 are 17, 4159. Prime factorization of 70703 in exponential form is:

70703 = 17¹ × 4159¹

Step-3: Factors of 70683

List of positive integer factors of 70683 that divides 70683 without a remainder.

1, 3, 23561

Step-4: Factors of 70703

List of positive integer factors of 70703 that divides 70683 without a remainder.

1, 17, 4159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70683 and 70703. The biggest common factor number is the GCF number.
So the greatest common factor 70683 and 70703 is 1.

Also check out the Least Common Multiple of 70683 and 70703