What is the Greatest Common Factor of 97692 and 97703?

Greatest common factor (GCF) of 97692 and 97703 is 1.

GCF(97692,97703) = 1

We will now calculate the prime factors of 97692 and 97703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97692 and 97703.

How to find the GCF of 97692 and 97703?

We will first find the prime factorization of 97692 and 97703. After we will calculate the factors of 97692 and 97703 and find the biggest common factor number .

Step-1: Prime Factorization of 97692

Prime factors of 97692 are 2, 3, 7, 1163. Prime factorization of 97692 in exponential form is:

97692 = 2² × 3¹ × 7¹ × 1163¹

Step-2: Prime Factorization of 97703

Prime factors of 97703 are 41, 2383. Prime factorization of 97703 in exponential form is:

97703 = 41¹ × 2383¹

Step-3: Factors of 97692

List of positive integer factors of 97692 that divides 97692 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1163, 2326, 3489, 4652, 6978, 8141, 13956, 16282, 24423, 32564, 48846

Step-4: Factors of 97703

List of positive integer factors of 97703 that divides 97692 without a remainder.

1, 41, 2383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97692 and 97703. The biggest common factor number is the GCF number.
So the greatest common factor 97692 and 97703 is 1.

Also check out the Least Common Multiple of 97692 and 97703