What is the Greatest Common Factor of 47945 and 47960?

Greatest common factor (GCF) of 47945 and 47960 is 5.

GCF(47945,47960) = 5

We will now calculate the prime factors of 47945 and 47960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47945 and 47960.

How to find the GCF of 47945 and 47960?

We will first find the prime factorization of 47945 and 47960. After we will calculate the factors of 47945 and 47960 and find the biggest common factor number .

Step-1: Prime Factorization of 47945

Prime factors of 47945 are 5, 43, 223. Prime factorization of 47945 in exponential form is:

47945 = 5¹ × 43¹ × 223¹

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 47945

List of positive integer factors of 47945 that divides 47945 without a remainder.

1, 5, 43, 215, 223, 1115, 9589

Step-4: Factors of 47960

List of positive integer factors of 47960 that divides 47945 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 47945 and 47960. The biggest common factor number is the GCF number.
So the greatest common factor 47945 and 47960 is 5.

Also check out the Least Common Multiple of 47945 and 47960