What is the Greatest Common Factor of 47120 and 47139?

Greatest common factor (GCF) of 47120 and 47139 is 19.

GCF(47120,47139) = 19

We will now calculate the prime factors of 47120 and 47139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47120 and 47139.

How to find the GCF of 47120 and 47139?

We will first find the prime factorization of 47120 and 47139. After we will calculate the factors of 47120 and 47139 and find the biggest common factor number .

Step-1: Prime Factorization of 47120

Prime factors of 47120 are 2, 5, 19, 31. Prime factorization of 47120 in exponential form is:

47120 = 2⁴ × 5¹ × 19¹ × 31¹

Step-2: Prime Factorization of 47139

Prime factors of 47139 are 3, 19, 827. Prime factorization of 47139 in exponential form is:

47139 = 3¹ × 19¹ × 827¹

Step-3: Factors of 47120

List of positive integer factors of 47120 that divides 47120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 31, 38, 40, 62, 76, 80, 95, 124, 152, 155, 190, 248, 304, 310, 380, 496, 589, 620, 760, 1178, 1240, 1520, 2356, 2480, 2945, 4712, 5890, 9424, 11780, 23560

Step-4: Factors of 47139

List of positive integer factors of 47139 that divides 47120 without a remainder.

1, 3, 19, 57, 827, 2481, 15713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47120 and 47139. The biggest common factor number is the GCF number.
So the greatest common factor 47120 and 47139 is 19.

Also check out the Least Common Multiple of 47120 and 47139