What is the Greatest Common Factor of 97699 and 97713?

Greatest common factor (GCF) of 97699 and 97713 is 7.

GCF(97699,97713) = 7

We will now calculate the prime factors of 97699 and 97713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97699 and 97713.

How to find the GCF of 97699 and 97713?

We will first find the prime factorization of 97699 and 97713. After we will calculate the factors of 97699 and 97713 and find the biggest common factor number .

Step-1: Prime Factorization of 97699

Prime factors of 97699 are 7, 17, 821. Prime factorization of 97699 in exponential form is:

97699 = 7¹ × 17¹ × 821¹

Step-2: 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-3: Factors of 97699

List of positive integer factors of 97699 that divides 97699 without a remainder.

1, 7, 17, 119, 821, 5747, 13957

Step-4: Factors of 97713

List of positive integer factors of 97713 that divides 97699 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97699 and 97713. The biggest common factor number is the GCF number.
So the greatest common factor 97699 and 97713 is 7.

Also check out the Least Common Multiple of 97699 and 97713