What is the Greatest Common Factor of 77703 and 77707?

Greatest common factor (GCF) of 77703 and 77707 is 1.

GCF(77703,77707) = 1

We will now calculate the prime factors of 77703 and 77707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77703 and 77707.

How to find the GCF of 77703 and 77707?

We will first find the prime factorization of 77703 and 77707. After we will calculate the factors of 77703 and 77707 and find the biggest common factor number .

Step-1: Prime Factorization of 77703

Prime factors of 77703 are 3, 59, 439. Prime factorization of 77703 in exponential form is:

77703 = 3¹ × 59¹ × 439¹

Step-2: Prime Factorization of 77707

Prime factors of 77707 are 7, 17, 653. Prime factorization of 77707 in exponential form is:

77707 = 7¹ × 17¹ × 653¹

Step-3: Factors of 77703

List of positive integer factors of 77703 that divides 77703 without a remainder.

1, 3, 59, 177, 439, 1317, 25901

Step-4: Factors of 77707

List of positive integer factors of 77707 that divides 77703 without a remainder.

1, 7, 17, 119, 653, 4571, 11101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77703 and 77707. The biggest common factor number is the GCF number.
So the greatest common factor 77703 and 77707 is 1.

Also check out the Least Common Multiple of 77703 and 77707