What is the Greatest Common Factor of 9534 and 9542?

Greatest common factor (GCF) of 9534 and 9542 is 2.

GCF(9534,9542) = 2

We will now calculate the prime factors of 9534 and 9542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9534 and 9542.

How to find the GCF of 9534 and 9542?

We will first find the prime factorization of 9534 and 9542. After we will calculate the factors of 9534 and 9542 and find the biggest common factor number .

Step-1: Prime Factorization of 9534

Prime factors of 9534 are 2, 3, 7, 227. Prime factorization of 9534 in exponential form is:

9534 = 2¹ × 3¹ × 7¹ × 227¹

Step-2: Prime Factorization of 9542

Prime factors of 9542 are 2, 13, 367. Prime factorization of 9542 in exponential form is:

9542 = 2¹ × 13¹ × 367¹

Step-3: Factors of 9534

List of positive integer factors of 9534 that divides 9534 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767

Step-4: Factors of 9542

List of positive integer factors of 9542 that divides 9534 without a remainder.

1, 2, 13, 26, 367, 734, 4771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9534 and 9542. The biggest common factor number is the GCF number.
So the greatest common factor 9534 and 9542 is 2.

Also check out the Least Common Multiple of 9534 and 9542