What is the Greatest Common Factor of 97769 and 97783?

Greatest common factor (GCF) of 97769 and 97783 is 7.

GCF(97769,97783) = 7

We will now calculate the prime factors of 97769 and 97783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97769 and 97783.

How to find the GCF of 97769 and 97783?

We will first find the prime factorization of 97769 and 97783. After we will calculate the factors of 97769 and 97783 and find the biggest common factor number .

Step-1: Prime Factorization of 97769

Prime factors of 97769 are 7, 13967. Prime factorization of 97769 in exponential form is:

97769 = 7¹ × 13967¹

Step-2: Prime Factorization of 97783

Prime factors of 97783 are 7, 61, 229. Prime factorization of 97783 in exponential form is:

97783 = 7¹ × 61¹ × 229¹

Step-3: Factors of 97769

List of positive integer factors of 97769 that divides 97769 without a remainder.

1, 7, 13967

Step-4: Factors of 97783

List of positive integer factors of 97783 that divides 97769 without a remainder.

1, 7, 61, 229, 427, 1603, 13969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97769 and 97783. The biggest common factor number is the GCF number.
So the greatest common factor 97769 and 97783 is 7.

Also check out the Least Common Multiple of 97769 and 97783