What is the Greatest Common Factor of 67703 and 67707?

Greatest common factor (GCF) of 67703 and 67707 is 1.

GCF(67703,67707) = 1

We will now calculate the prime factors of 67703 and 67707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67703 and 67707.

How to find the GCF of 67703 and 67707?

We will first find the prime factorization of 67703 and 67707. After we will calculate the factors of 67703 and 67707 and find the biggest common factor number .

Step-1: Prime Factorization of 67703

Prime factors of 67703 are 79, 857. Prime factorization of 67703 in exponential form is:

67703 = 79¹ × 857¹

Step-2: Prime Factorization of 67707

Prime factors of 67707 are 3, 7523. Prime factorization of 67707 in exponential form is:

67707 = 3² × 7523¹

Step-3: Factors of 67703

List of positive integer factors of 67703 that divides 67703 without a remainder.

1, 79, 857

Step-4: Factors of 67707

List of positive integer factors of 67707 that divides 67703 without a remainder.

1, 3, 9, 7523, 22569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67703 and 67707. The biggest common factor number is the GCF number.
So the greatest common factor 67703 and 67707 is 1.

Also check out the Least Common Multiple of 67703 and 67707