What is the Greatest Common Factor of 94456 and 94460?

Greatest common factor (GCF) of 94456 and 94460 is 4.

GCF(94456,94460) = 4

We will now calculate the prime factors of 94456 and 94460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94456 and 94460.

How to find the GCF of 94456 and 94460?

We will first find the prime factorization of 94456 and 94460. After we will calculate the factors of 94456 and 94460 and find the biggest common factor number .

Step-1: Prime Factorization of 94456

Prime factors of 94456 are 2, 11807. Prime factorization of 94456 in exponential form is:

94456 = 2³ × 11807¹

Step-2: Prime Factorization of 94460

Prime factors of 94460 are 2, 5, 4723. Prime factorization of 94460 in exponential form is:

94460 = 2² × 5¹ × 4723¹

Step-3: Factors of 94456

List of positive integer factors of 94456 that divides 94456 without a remainder.

1, 2, 4, 8, 11807, 23614, 47228

Step-4: Factors of 94460

List of positive integer factors of 94460 that divides 94456 without a remainder.

1, 2, 4, 5, 10, 20, 4723, 9446, 18892, 23615, 47230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94456 and 94460. The biggest common factor number is the GCF number.
So the greatest common factor 94456 and 94460 is 4.

Also check out the Least Common Multiple of 94456 and 94460