What is the Greatest Common Factor of 94924 and 94938?

Greatest common factor (GCF) of 94924 and 94938 is 2.

GCF(94924,94938) = 2

We will now calculate the prime factors of 94924 and 94938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94924 and 94938.

How to find the GCF of 94924 and 94938?

We will first find the prime factorization of 94924 and 94938. After we will calculate the factors of 94924 and 94938 and find the biggest common factor number .

Step-1: Prime Factorization of 94924

Prime factors of 94924 are 2, 19, 1249. Prime factorization of 94924 in exponential form is:

94924 = 2² × 19¹ × 1249¹

Step-2: Prime Factorization of 94938

Prime factors of 94938 are 2, 3, 15823. Prime factorization of 94938 in exponential form is:

94938 = 2¹ × 3¹ × 15823¹

Step-3: Factors of 94924

List of positive integer factors of 94924 that divides 94924 without a remainder.

1, 2, 4, 19, 38, 76, 1249, 2498, 4996, 23731, 47462

Step-4: Factors of 94938

List of positive integer factors of 94938 that divides 94924 without a remainder.

1, 2, 3, 6, 15823, 31646, 47469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94924 and 94938. The biggest common factor number is the GCF number.
So the greatest common factor 94924 and 94938 is 2.

Also check out the Least Common Multiple of 94924 and 94938