What is the Greatest Common Factor of 72698 and 72703?

Greatest common factor (GCF) of 72698 and 72703 is 1.

GCF(72698,72703) = 1

We will now calculate the prime factors of 72698 and 72703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72698 and 72703.

How to find the GCF of 72698 and 72703?

We will first find the prime factorization of 72698 and 72703. After we will calculate the factors of 72698 and 72703 and find the biggest common factor number .

Step-1: Prime Factorization of 72698

Prime factors of 72698 are 2, 163, 223. Prime factorization of 72698 in exponential form is:

72698 = 2¹ × 163¹ × 223¹

Step-2: Prime Factorization of 72703

Prime factors of 72703 are 23, 29, 109. Prime factorization of 72703 in exponential form is:

72703 = 23¹ × 29¹ × 109¹

Step-3: Factors of 72698

List of positive integer factors of 72698 that divides 72698 without a remainder.

1, 2, 163, 223, 326, 446, 36349

Step-4: Factors of 72703

List of positive integer factors of 72703 that divides 72698 without a remainder.

1, 23, 29, 109, 667, 2507, 3161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72698 and 72703. The biggest common factor number is the GCF number.
So the greatest common factor 72698 and 72703 is 1.

Also check out the Least Common Multiple of 72698 and 72703