What is the Greatest Common Factor of 9448 and 9462?

Greatest common factor (GCF) of 9448 and 9462 is 2.

GCF(9448,9462) = 2

We will now calculate the prime factors of 9448 and 9462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9448 and 9462.

How to find the GCF of 9448 and 9462?

We will first find the prime factorization of 9448 and 9462. After we will calculate the factors of 9448 and 9462 and find the biggest common factor number .

Step-1: Prime Factorization of 9448

Prime factors of 9448 are 2, 1181. Prime factorization of 9448 in exponential form is:

9448 = 2³ × 1181¹

Step-2: Prime Factorization of 9462

Prime factors of 9462 are 2, 3, 19, 83. Prime factorization of 9462 in exponential form is:

9462 = 2¹ × 3¹ × 19¹ × 83¹

Step-3: Factors of 9448

List of positive integer factors of 9448 that divides 9448 without a remainder.

1, 2, 4, 8, 1181, 2362, 4724

Step-4: Factors of 9462

List of positive integer factors of 9462 that divides 9448 without a remainder.

1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9448 and 9462. The biggest common factor number is the GCF number.
So the greatest common factor 9448 and 9462 is 2.

Also check out the Least Common Multiple of 9448 and 9462