What is the Greatest Common Factor of 97706 and 97720?

Greatest common factor (GCF) of 97706 and 97720 is 14.

GCF(97706,97720) = 14

We will now calculate the prime factors of 97706 and 97720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97706 and 97720.

How to find the GCF of 97706 and 97720?

We will first find the prime factorization of 97706 and 97720. After we will calculate the factors of 97706 and 97720 and find the biggest common factor number .

Step-1: Prime Factorization of 97706

Prime factors of 97706 are 2, 7, 997. Prime factorization of 97706 in exponential form is:

97706 = 2¹ × 7² × 997¹

Step-2: Prime Factorization of 97720

Prime factors of 97720 are 2, 5, 7, 349. Prime factorization of 97720 in exponential form is:

97720 = 2³ × 5¹ × 7¹ × 349¹

Step-3: Factors of 97706

List of positive integer factors of 97706 that divides 97706 without a remainder.

1, 2, 7, 14, 49, 98, 997, 1994, 6979, 13958, 48853

Step-4: Factors of 97720

List of positive integer factors of 97720 that divides 97706 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 349, 698, 1396, 1745, 2443, 2792, 3490, 4886, 6980, 9772, 12215, 13960, 19544, 24430, 48860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97706 and 97720. The biggest common factor number is the GCF number.
So the greatest common factor 97706 and 97720 is 14.

Also check out the Least Common Multiple of 97706 and 97720