What is the Greatest Common Factor of 97661 and 97681?

Greatest common factor (GCF) of 97661 and 97681 is 1.

GCF(97661,97681) = 1

We will now calculate the prime factors of 97661 and 97681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97661 and 97681.

How to find the GCF of 97661 and 97681?

We will first find the prime factorization of 97661 and 97681. After we will calculate the factors of 97661 and 97681 and find the biggest common factor number .

Step-1: Prime Factorization of 97661

Prime factors of 97661 are 61, 1601. Prime factorization of 97661 in exponential form is:

97661 = 61¹ × 1601¹

Step-2: Prime Factorization of 97681

Prime factors of 97681 are 23, 31, 137. Prime factorization of 97681 in exponential form is:

97681 = 23¹ × 31¹ × 137¹

Step-3: Factors of 97661

List of positive integer factors of 97661 that divides 97661 without a remainder.

1, 61, 1601

Step-4: Factors of 97681

List of positive integer factors of 97681 that divides 97661 without a remainder.

1, 23, 31, 137, 713, 3151, 4247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97661 and 97681. The biggest common factor number is the GCF number.
So the greatest common factor 97661 and 97681 is 1.

Also check out the Least Common Multiple of 97661 and 97681