What is the Greatest Common Factor of 97697 and 97706?

Greatest common factor (GCF) of 97697 and 97706 is 1.

GCF(97697,97706) = 1

We will now calculate the prime factors of 97697 and 97706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97697 and 97706.

How to find the GCF of 97697 and 97706?

We will first find the prime factorization of 97697 and 97706. After we will calculate the factors of 97697 and 97706 and find the biggest common factor number .

Step-1: Prime Factorization of 97697

Prime factors of 97697 are 151, 647. Prime factorization of 97697 in exponential form is:

97697 = 151¹ × 647¹

Step-2: 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-3: Factors of 97697

List of positive integer factors of 97697 that divides 97697 without a remainder.

1, 151, 647

Step-4: Factors of 97706

List of positive integer factors of 97706 that divides 97697 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97697 and 97706. The biggest common factor number is the GCF number.
So the greatest common factor 97697 and 97706 is 1.

Also check out the Least Common Multiple of 97697 and 97706