What is the Greatest Common Factor of 97653 and 97669?

Greatest common factor (GCF) of 97653 and 97669 is 1.

GCF(97653,97669) = 1

We will now calculate the prime factors of 97653 and 97669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97653 and 97669.

How to find the GCF of 97653 and 97669?

We will first find the prime factorization of 97653 and 97669. After we will calculate the factors of 97653 and 97669 and find the biggest common factor number .

Step-1: Prime Factorization of 97653

Prime factors of 97653 are 3, 43, 757. Prime factorization of 97653 in exponential form is:

97653 = 3¹ × 43¹ × 757¹

Step-2: Prime Factorization of 97669

Prime factors of 97669 are 11, 13, 683. Prime factorization of 97669 in exponential form is:

97669 = 11¹ × 13¹ × 683¹

Step-3: Factors of 97653

List of positive integer factors of 97653 that divides 97653 without a remainder.

1, 3, 43, 129, 757, 2271, 32551

Step-4: Factors of 97669

List of positive integer factors of 97669 that divides 97653 without a remainder.

1, 11, 13, 143, 683, 7513, 8879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97653 and 97669. The biggest common factor number is the GCF number.
So the greatest common factor 97653 and 97669 is 1.

Also check out the Least Common Multiple of 97653 and 97669