What is the Greatest Common Factor of 94549 and 94556?

Greatest common factor (GCF) of 94549 and 94556 is 7.

GCF(94549,94556) = 7

We will now calculate the prime factors of 94549 and 94556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94549 and 94556.

How to find the GCF of 94549 and 94556?

We will first find the prime factorization of 94549 and 94556. After we will calculate the factors of 94549 and 94556 and find the biggest common factor number .

Step-1: Prime Factorization of 94549

Prime factors of 94549 are 7, 13, 1039. Prime factorization of 94549 in exponential form is:

94549 = 7¹ × 13¹ × 1039¹

Step-2: Prime Factorization of 94556

Prime factors of 94556 are 2, 7, 11, 307. Prime factorization of 94556 in exponential form is:

94556 = 2² × 7¹ × 11¹ × 307¹

Step-3: Factors of 94549

List of positive integer factors of 94549 that divides 94549 without a remainder.

1, 7, 13, 91, 1039, 7273, 13507

Step-4: Factors of 94556

List of positive integer factors of 94556 that divides 94549 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 307, 308, 614, 1228, 2149, 3377, 4298, 6754, 8596, 13508, 23639, 47278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94549 and 94556. The biggest common factor number is the GCF number.
So the greatest common factor 94549 and 94556 is 7.

Also check out the Least Common Multiple of 94549 and 94556