What is the Greatest Common Factor of 47923 and 47940?

Greatest common factor (GCF) of 47923 and 47940 is 17.

GCF(47923,47940) = 17

We will now calculate the prime factors of 47923 and 47940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47923 and 47940.

How to find the GCF of 47923 and 47940?

We will first find the prime factorization of 47923 and 47940. After we will calculate the factors of 47923 and 47940 and find the biggest common factor number .

Step-1: Prime Factorization of 47923

Prime factors of 47923 are 17, 2819. Prime factorization of 47923 in exponential form is:

47923 = 17¹ × 2819¹

Step-2: Prime Factorization of 47940

Prime factors of 47940 are 2, 3, 5, 17, 47. Prime factorization of 47940 in exponential form is:

47940 = 2² × 3¹ × 5¹ × 17¹ × 47¹

Step-3: Factors of 47923

List of positive integer factors of 47923 that divides 47923 without a remainder.

1, 17, 2819

Step-4: Factors of 47940

List of positive integer factors of 47940 that divides 47923 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 47, 51, 60, 68, 85, 94, 102, 141, 170, 188, 204, 235, 255, 282, 340, 470, 510, 564, 705, 799, 940, 1020, 1410, 1598, 2397, 2820, 3196, 3995, 4794, 7990, 9588, 11985, 15980, 23970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47923 and 47940. The biggest common factor number is the GCF number.
So the greatest common factor 47923 and 47940 is 17.

Also check out the Least Common Multiple of 47923 and 47940