What is the Greatest Common Factor of 97727 and 97738?

Greatest common factor (GCF) of 97727 and 97738 is 1.

GCF(97727,97738) = 1

We will now calculate the prime factors of 97727 and 97738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97727 and 97738.

How to find the GCF of 97727 and 97738?

We will first find the prime factorization of 97727 and 97738. After we will calculate the factors of 97727 and 97738 and find the biggest common factor number .

Step-1: Prime Factorization of 97727

Prime factors of 97727 are 7, 23, 607. Prime factorization of 97727 in exponential form is:

97727 = 7¹ × 23¹ × 607¹

Step-2: Prime Factorization of 97738

Prime factors of 97738 are 2, 48869. Prime factorization of 97738 in exponential form is:

97738 = 2¹ × 48869¹

Step-3: Factors of 97727

List of positive integer factors of 97727 that divides 97727 without a remainder.

1, 7, 23, 161, 607, 4249, 13961

Step-4: Factors of 97738

List of positive integer factors of 97738 that divides 97727 without a remainder.

1, 2, 48869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97727 and 97738. The biggest common factor number is the GCF number.
So the greatest common factor 97727 and 97738 is 1.

Also check out the Least Common Multiple of 97727 and 97738