What is the Greatest Common Factor of 97716 and 97733?

Greatest common factor (GCF) of 97716 and 97733 is 17.

GCF(97716,97733) = 17

We will now calculate the prime factors of 97716 and 97733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97716 and 97733.

How to find the GCF of 97716 and 97733?

We will first find the prime factorization of 97716 and 97733. After we will calculate the factors of 97716 and 97733 and find the biggest common factor number .

Step-1: Prime Factorization of 97716

Prime factors of 97716 are 2, 3, 17, 479. Prime factorization of 97716 in exponential form is:

97716 = 2² × 3¹ × 17¹ × 479¹

Step-2: Prime Factorization of 97733

Prime factors of 97733 are 17, 5749. Prime factorization of 97733 in exponential form is:

97733 = 17¹ × 5749¹

Step-3: Factors of 97716

List of positive integer factors of 97716 that divides 97716 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 479, 958, 1437, 1916, 2874, 5748, 8143, 16286, 24429, 32572, 48858

Step-4: Factors of 97733

List of positive integer factors of 97733 that divides 97716 without a remainder.

1, 17, 5749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97716 and 97733. The biggest common factor number is the GCF number.
So the greatest common factor 97716 and 97733 is 17.

Also check out the Least Common Multiple of 97716 and 97733