What is the Greatest Common Factor of 94388 and 94402?

Greatest common factor (GCF) of 94388 and 94402 is 14.

GCF(94388,94402) = 14

We will now calculate the prime factors of 94388 and 94402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94388 and 94402.

How to find the GCF of 94388 and 94402?

We will first find the prime factorization of 94388 and 94402. After we will calculate the factors of 94388 and 94402 and find the biggest common factor number .

Step-1: Prime Factorization of 94388

Prime factors of 94388 are 2, 7, 3371. Prime factorization of 94388 in exponential form is:

94388 = 2² × 7¹ × 3371¹

Step-2: Prime Factorization of 94402

Prime factors of 94402 are 2, 7, 11, 613. Prime factorization of 94402 in exponential form is:

94402 = 2¹ × 7¹ × 11¹ × 613¹

Step-3: Factors of 94388

List of positive integer factors of 94388 that divides 94388 without a remainder.

1, 2, 4, 7, 14, 28, 3371, 6742, 13484, 23597, 47194

Step-4: Factors of 94402

List of positive integer factors of 94402 that divides 94388 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 613, 1226, 4291, 6743, 8582, 13486, 47201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94388 and 94402. The biggest common factor number is the GCF number.
So the greatest common factor 94388 and 94402 is 14.

Also check out the Least Common Multiple of 94388 and 94402