What is the Greatest Common Factor of 97711 and 97720?

Greatest common factor (GCF) of 97711 and 97720 is 1.

GCF(97711,97720) = 1

We will now calculate the prime factors of 97711 and 97720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97711 and 97720.

How to find the GCF of 97711 and 97720?

We will first find the prime factorization of 97711 and 97720. After we will calculate the factors of 97711 and 97720 and find the biggest common factor number .

Step-1: Prime Factorization of 97711

Prime factors of 97711 are 97711. Prime factorization of 97711 in exponential form is:

97711 = 97711¹

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 97711

List of positive integer factors of 97711 that divides 97711 without a remainder.

Step-4: Factors of 97720

List of positive integer factors of 97720 that divides 97711 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 97711 and 97720. The biggest common factor number is the GCF number.
So the greatest common factor 97711 and 97720 is 1.

Also check out the Least Common Multiple of 97711 and 97720