What is the Greatest Common Factor of 94744 and 94757?

Greatest common factor (GCF) of 94744 and 94757 is 13.

GCF(94744,94757) = 13

We will now calculate the prime factors of 94744 and 94757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94744 and 94757.

How to find the GCF of 94744 and 94757?

We will first find the prime factorization of 94744 and 94757. After we will calculate the factors of 94744 and 94757 and find the biggest common factor number .

Step-1: Prime Factorization of 94744

Prime factors of 94744 are 2, 13, 911. Prime factorization of 94744 in exponential form is:

94744 = 2³ × 13¹ × 911¹

Step-2: Prime Factorization of 94757

Prime factors of 94757 are 13, 37, 197. Prime factorization of 94757 in exponential form is:

94757 = 13¹ × 37¹ × 197¹

Step-3: Factors of 94744

List of positive integer factors of 94744 that divides 94744 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 911, 1822, 3644, 7288, 11843, 23686, 47372

Step-4: Factors of 94757

List of positive integer factors of 94757 that divides 94744 without a remainder.

1, 13, 37, 197, 481, 2561, 7289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94744 and 94757. The biggest common factor number is the GCF number.
So the greatest common factor 94744 and 94757 is 13.

Also check out the Least Common Multiple of 94744 and 94757