What is the Greatest Common Factor of 97643 and 97661?

Greatest common factor (GCF) of 97643 and 97661 is 1.

GCF(97643,97661) = 1

We will now calculate the prime factors of 97643 and 97661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97643 and 97661.

How to find the GCF of 97643 and 97661?

We will first find the prime factorization of 97643 and 97661. After we will calculate the factors of 97643 and 97661 and find the biggest common factor number .

Step-1: Prime Factorization of 97643

Prime factors of 97643 are 7, 13, 29, 37. Prime factorization of 97643 in exponential form is:

97643 = 7¹ × 13¹ × 29¹ × 37¹

Step-2: Prime Factorization of 97661

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

97661 = 61¹ × 1601¹

Step-3: Factors of 97643

List of positive integer factors of 97643 that divides 97643 without a remainder.

1, 7, 13, 29, 37, 91, 203, 259, 377, 481, 1073, 2639, 3367, 7511, 13949

Step-4: Factors of 97661

List of positive integer factors of 97661 that divides 97643 without a remainder.

1, 61, 1601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97643 and 97661. The biggest common factor number is the GCF number.
So the greatest common factor 97643 and 97661 is 1.

Also check out the Least Common Multiple of 97643 and 97661