What is the Greatest Common Factor of 97713 and 97717?

Greatest common factor (GCF) of 97713 and 97717 is 1.

GCF(97713,97717) = 1

We will now calculate the prime factors of 97713 and 97717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97713 and 97717.

How to find the GCF of 97713 and 97717?

We will first find the prime factorization of 97713 and 97717. After we will calculate the factors of 97713 and 97717 and find the biggest common factor number .

Step-1: Prime Factorization of 97713

Prime factors of 97713 are 3, 7, 11, 47. Prime factorization of 97713 in exponential form is:

97713 = 3³ × 7¹ × 11¹ × 47¹

Step-2: Prime Factorization of 97717

Prime factors of 97717 are 19, 37, 139. Prime factorization of 97717 in exponential form is:

97717 = 19¹ × 37¹ × 139¹

Step-3: Factors of 97713

List of positive integer factors of 97713 that divides 97713 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 47, 63, 77, 99, 141, 189, 231, 297, 329, 423, 517, 693, 987, 1269, 1551, 2079, 2961, 3619, 4653, 8883, 10857, 13959, 32571

Step-4: Factors of 97717

List of positive integer factors of 97717 that divides 97713 without a remainder.

1, 19, 37, 139, 703, 2641, 5143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97713 and 97717. The biggest common factor number is the GCF number.
So the greatest common factor 97713 and 97717 is 1.

Also check out the Least Common Multiple of 97713 and 97717