What is the Greatest Common Factor of 89684 and 89703?

Greatest common factor (GCF) of 89684 and 89703 is 1.

GCF(89684,89703) = 1

We will now calculate the prime factors of 89684 and 89703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89684 and 89703.

How to find the GCF of 89684 and 89703?

We will first find the prime factorization of 89684 and 89703. After we will calculate the factors of 89684 and 89703 and find the biggest common factor number .

Step-1: Prime Factorization of 89684

Prime factors of 89684 are 2, 7, 3203. Prime factorization of 89684 in exponential form is:

89684 = 2² × 7¹ × 3203¹

Step-2: Prime Factorization of 89703

Prime factors of 89703 are 3, 9967. Prime factorization of 89703 in exponential form is:

89703 = 3² × 9967¹

Step-3: Factors of 89684

List of positive integer factors of 89684 that divides 89684 without a remainder.

1, 2, 4, 7, 14, 28, 3203, 6406, 12812, 22421, 44842

Step-4: Factors of 89703

List of positive integer factors of 89703 that divides 89684 without a remainder.

1, 3, 9, 9967, 29901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89684 and 89703. The biggest common factor number is the GCF number.
So the greatest common factor 89684 and 89703 is 1.

Also check out the Least Common Multiple of 89684 and 89703