What is the Greatest Common Factor of 94628 and 94633?

Greatest common factor (GCF) of 94628 and 94633 is 1.

GCF(94628,94633) = 1

We will now calculate the prime factors of 94628 and 94633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94628 and 94633.

How to find the GCF of 94628 and 94633?

We will first find the prime factorization of 94628 and 94633. After we will calculate the factors of 94628 and 94633 and find the biggest common factor number .

Step-1: Prime Factorization of 94628

Prime factors of 94628 are 2, 41, 577. Prime factorization of 94628 in exponential form is:

94628 = 2² × 41¹ × 577¹

Step-2: Prime Factorization of 94633

Prime factors of 94633 are 7, 11, 1229. Prime factorization of 94633 in exponential form is:

94633 = 7¹ × 11¹ × 1229¹

Step-3: Factors of 94628

List of positive integer factors of 94628 that divides 94628 without a remainder.

1, 2, 4, 41, 82, 164, 577, 1154, 2308, 23657, 47314

Step-4: Factors of 94633

List of positive integer factors of 94633 that divides 94628 without a remainder.

1, 7, 11, 77, 1229, 8603, 13519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94628 and 94633. The biggest common factor number is the GCF number.
So the greatest common factor 94628 and 94633 is 1.

Also check out the Least Common Multiple of 94628 and 94633