What is the Greatest Common Factor of 47949 and 47960?

Greatest common factor (GCF) of 47949 and 47960 is 11.

GCF(47949,47960) = 11

We will now calculate the prime factors of 47949 and 47960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47949 and 47960.

How to find the GCF of 47949 and 47960?

We will first find the prime factorization of 47949 and 47960. After we will calculate the factors of 47949 and 47960 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47960

Prime factors of 47960 are 2, 5, 11, 109. Prime factorization of 47960 in exponential form is:

47960 = 2³ × 5¹ × 11¹ × 109¹

Step-3: Factors of 47949

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

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

Step-4: Factors of 47960

List of positive integer factors of 47960 that divides 47949 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 109, 110, 218, 220, 436, 440, 545, 872, 1090, 1199, 2180, 2398, 4360, 4796, 5995, 9592, 11990, 23980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47949 and 47960. The biggest common factor number is the GCF number.
So the greatest common factor 47949 and 47960 is 11.

Also check out the Least Common Multiple of 47949 and 47960