What is the Greatest Common Factor of 97722 and 97727?

Greatest common factor (GCF) of 97722 and 97727 is 1.

GCF(97722,97727) = 1

We will now calculate the prime factors of 97722 and 97727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97722 and 97727.

How to find the GCF of 97722 and 97727?

We will first find the prime factorization of 97722 and 97727. After we will calculate the factors of 97722 and 97727 and find the biggest common factor number .

Step-1: Prime Factorization of 97722

Prime factors of 97722 are 2, 3, 61, 89. Prime factorization of 97722 in exponential form is:

97722 = 2¹ × 3² × 61¹ × 89¹

Step-2: 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-3: Factors of 97722

List of positive integer factors of 97722 that divides 97722 without a remainder.

1, 2, 3, 6, 9, 18, 61, 89, 122, 178, 183, 267, 366, 534, 549, 801, 1098, 1602, 5429, 10858, 16287, 32574, 48861

Step-4: Factors of 97727

List of positive integer factors of 97727 that divides 97722 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97722 and 97727. The biggest common factor number is the GCF number.
So the greatest common factor 97722 and 97727 is 1.

Also check out the Least Common Multiple of 97722 and 97727