What is the Greatest Common Factor of 94924 and 94943?

Greatest common factor (GCF) of 94924 and 94943 is 19.

GCF(94924,94943) = 19

We will now calculate the prime factors of 94924 and 94943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94924 and 94943.

How to find the GCF of 94924 and 94943?

We will first find the prime factorization of 94924 and 94943. After we will calculate the factors of 94924 and 94943 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 94943

Prime factors of 94943 are 19, 263. Prime factorization of 94943 in exponential form is:

94943 = 19² × 263¹

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 94943

List of positive integer factors of 94943 that divides 94924 without a remainder.

1, 19, 263, 361, 4997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94924 and 94943. The biggest common factor number is the GCF number.
So the greatest common factor 94924 and 94943 is 19.

Also check out the Least Common Multiple of 94924 and 94943