What is the Greatest Common Factor of 47940 and 47949?

Greatest common factor (GCF) of 47940 and 47949 is 3.

GCF(47940,47949) = 3

We will now calculate the prime factors of 47940 and 47949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47940 and 47949.

How to find the GCF of 47940 and 47949?

We will first find the prime factorization of 47940 and 47949. After we will calculate the factors of 47940 and 47949 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47949

Prime factors of 47949 are 3, 11, 1453. Prime factorization of 47949 in exponential form is:

47949 = 3¹ × 11¹ × 1453¹

Step-3: Factors of 47940

List of positive integer factors of 47940 that divides 47940 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

Step-4: Factors of 47949

List of positive integer factors of 47949 that divides 47940 without a remainder.

1, 3, 11, 33, 1453, 4359, 15983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47940 and 47949. The biggest common factor number is the GCF number.
So the greatest common factor 47940 and 47949 is 3.

Also check out the Least Common Multiple of 47940 and 47949