What is the Greatest Common Factor of 47120 and 47131?

Greatest common factor (GCF) of 47120 and 47131 is 1.

GCF(47120,47131) = 1

We will now calculate the prime factors of 47120 and 47131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47120 and 47131.

How to find the GCF of 47120 and 47131?

We will first find the prime factorization of 47120 and 47131. After we will calculate the factors of 47120 and 47131 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 47131

Prime factors of 47131 are 7, 6733. Prime factorization of 47131 in exponential form is:

47131 = 7¹ × 6733¹

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 47131

List of positive integer factors of 47131 that divides 47120 without a remainder.

1, 7, 6733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47120 and 47131. The biggest common factor number is the GCF number.
So the greatest common factor 47120 and 47131 is 1.

Also check out the Least Common Multiple of 47120 and 47131