What is the Greatest Common Factor of 9652 and 9671?

Greatest common factor (GCF) of 9652 and 9671 is 19.

GCF(9652,9671) = 19

We will now calculate the prime factors of 9652 and 9671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9652 and 9671.

How to find the GCF of 9652 and 9671?

We will first find the prime factorization of 9652 and 9671. After we will calculate the factors of 9652 and 9671 and find the biggest common factor number .

Step-1: Prime Factorization of 9652

Prime factors of 9652 are 2, 19, 127. Prime factorization of 9652 in exponential form is:

9652 = 2² × 19¹ × 127¹

Step-2: Prime Factorization of 9671

Prime factors of 9671 are 19, 509. Prime factorization of 9671 in exponential form is:

9671 = 19¹ × 509¹

Step-3: Factors of 9652

List of positive integer factors of 9652 that divides 9652 without a remainder.

1, 2, 4, 19, 38, 76, 127, 254, 508, 2413, 4826

Step-4: Factors of 9671

List of positive integer factors of 9671 that divides 9652 without a remainder.

1, 19, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9652 and 9671. The biggest common factor number is the GCF number.
So the greatest common factor 9652 and 9671 is 19.

Also check out the Least Common Multiple of 9652 and 9671