What is the Greatest Common Factor of 97635 and 97653?

Greatest common factor (GCF) of 97635 and 97653 is 3.

GCF(97635,97653) = 3

We will now calculate the prime factors of 97635 and 97653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97635 and 97653.

How to find the GCF of 97635 and 97653?

We will first find the prime factorization of 97635 and 97653. After we will calculate the factors of 97635 and 97653 and find the biggest common factor number .

Step-1: Prime Factorization of 97635

Prime factors of 97635 are 3, 5, 23, 283. Prime factorization of 97635 in exponential form is:

97635 = 3¹ × 5¹ × 23¹ × 283¹

Step-2: 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-3: Factors of 97635

List of positive integer factors of 97635 that divides 97635 without a remainder.

1, 3, 5, 15, 23, 69, 115, 283, 345, 849, 1415, 4245, 6509, 19527, 32545

Step-4: Factors of 97653

List of positive integer factors of 97653 that divides 97635 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97635 and 97653. The biggest common factor number is the GCF number.
So the greatest common factor 97635 and 97653 is 3.

Also check out the Least Common Multiple of 97635 and 97653