What is the Greatest Common Factor of 96426 and 96437?

Greatest common factor (GCF) of 96426 and 96437 is 11.

GCF(96426,96437) = 11

We will now calculate the prime factors of 96426 and 96437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96426 and 96437.

How to find the GCF of 96426 and 96437?

We will first find the prime factorization of 96426 and 96437. After we will calculate the factors of 96426 and 96437 and find the biggest common factor number .

Step-1: Prime Factorization of 96426

Prime factors of 96426 are 2, 3, 11, 487. Prime factorization of 96426 in exponential form is:

96426 = 2¹ × 3² × 11¹ × 487¹

Step-2: Prime Factorization of 96437

Prime factors of 96437 are 11, 797. Prime factorization of 96437 in exponential form is:

96437 = 11² × 797¹

Step-3: Factors of 96426

List of positive integer factors of 96426 that divides 96426 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 487, 974, 1461, 2922, 4383, 5357, 8766, 10714, 16071, 32142, 48213

Step-4: Factors of 96437

List of positive integer factors of 96437 that divides 96426 without a remainder.

1, 11, 121, 797, 8767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96426 and 96437. The biggest common factor number is the GCF number.
So the greatest common factor 96426 and 96437 is 11.

Also check out the Least Common Multiple of 96426 and 96437