What is the Greatest Common Factor of 94430 and 94444?

Greatest common factor (GCF) of 94430 and 94444 is 14.

GCF(94430,94444) = 14

We will now calculate the prime factors of 94430 and 94444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94430 and 94444.

How to find the GCF of 94430 and 94444?

We will first find the prime factorization of 94430 and 94444. After we will calculate the factors of 94430 and 94444 and find the biggest common factor number .

Step-1: Prime Factorization of 94430

Prime factors of 94430 are 2, 5, 7, 19, 71. Prime factorization of 94430 in exponential form is:

94430 = 2¹ × 5¹ × 7¹ × 19¹ × 71¹

Step-2: Prime Factorization of 94444

Prime factors of 94444 are 2, 7, 3373. Prime factorization of 94444 in exponential form is:

94444 = 2² × 7¹ × 3373¹

Step-3: Factors of 94430

List of positive integer factors of 94430 that divides 94430 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 71, 95, 133, 142, 190, 266, 355, 497, 665, 710, 994, 1330, 1349, 2485, 2698, 4970, 6745, 9443, 13490, 18886, 47215

Step-4: Factors of 94444

List of positive integer factors of 94444 that divides 94430 without a remainder.

1, 2, 4, 7, 14, 28, 3373, 6746, 13492, 23611, 47222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94430 and 94444. The biggest common factor number is the GCF number.
So the greatest common factor 94430 and 94444 is 14.

Also check out the Least Common Multiple of 94430 and 94444