What is the Greatest Common Factor of 94628 and 94632?

Greatest common factor (GCF) of 94628 and 94632 is 4.

GCF(94628,94632) = 4

We will now calculate the prime factors of 94628 and 94632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94628 and 94632.

How to find the GCF of 94628 and 94632?

We will first find the prime factorization of 94628 and 94632. After we will calculate the factors of 94628 and 94632 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 94632

Prime factors of 94632 are 2, 3, 3943. Prime factorization of 94632 in exponential form is:

94632 = 2³ × 3¹ × 3943¹

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 94632

List of positive integer factors of 94632 that divides 94628 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3943, 7886, 11829, 15772, 23658, 31544, 47316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94628 and 94632. The biggest common factor number is the GCF number.
So the greatest common factor 94628 and 94632 is 4.

Also check out the Least Common Multiple of 94628 and 94632