What is the Greatest Common Factor of 9614 and 9625?

Greatest common factor (GCF) of 9614 and 9625 is 11.

GCF(9614,9625) = 11

We will now calculate the prime factors of 9614 and 9625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9614 and 9625.

How to find the GCF of 9614 and 9625?

We will first find the prime factorization of 9614 and 9625. After we will calculate the factors of 9614 and 9625 and find the biggest common factor number .

Step-1: Prime Factorization of 9614

Prime factors of 9614 are 2, 11, 19, 23. Prime factorization of 9614 in exponential form is:

9614 = 2¹ × 11¹ × 19¹ × 23¹

Step-2: Prime Factorization of 9625

Prime factors of 9625 are 5, 7, 11. Prime factorization of 9625 in exponential form is:

9625 = 5³ × 7¹ × 11¹

Step-3: Factors of 9614

List of positive integer factors of 9614 that divides 9614 without a remainder.

1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807

Step-4: Factors of 9625

List of positive integer factors of 9625 that divides 9614 without a remainder.

1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9614 and 9625. The biggest common factor number is the GCF number.
So the greatest common factor 9614 and 9625 is 11.

Also check out the Least Common Multiple of 9614 and 9625