What is the Greatest Common Factor of 9451 and 9464?

Greatest common factor (GCF) of 9451 and 9464 is 13.

GCF(9451,9464) = 13

We will now calculate the prime factors of 9451 and 9464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9451 and 9464.

How to find the GCF of 9451 and 9464?

We will first find the prime factorization of 9451 and 9464. After we will calculate the factors of 9451 and 9464 and find the biggest common factor number .

Step-1: Prime Factorization of 9451

Prime factors of 9451 are 13, 727. Prime factorization of 9451 in exponential form is:

9451 = 13¹ × 727¹

Step-2: Prime Factorization of 9464

Prime factors of 9464 are 2, 7, 13. Prime factorization of 9464 in exponential form is:

9464 = 2³ × 7¹ × 13²

Step-3: Factors of 9451

List of positive integer factors of 9451 that divides 9451 without a remainder.

1, 13, 727

Step-4: Factors of 9464

List of positive integer factors of 9464 that divides 9451 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9451 and 9464. The biggest common factor number is the GCF number.
So the greatest common factor 9451 and 9464 is 13.

Also check out the Least Common Multiple of 9451 and 9464