What is the Greatest Common Factor of 47101 and 47120?

Greatest common factor (GCF) of 47101 and 47120 is 19.

GCF(47101,47120) = 19

We will now calculate the prime factors of 47101 and 47120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47101 and 47120.

How to find the GCF of 47101 and 47120?

We will first find the prime factorization of 47101 and 47120. After we will calculate the factors of 47101 and 47120 and find the biggest common factor number .

Step-1: Prime Factorization of 47101

Prime factors of 47101 are 19, 37, 67. Prime factorization of 47101 in exponential form is:

47101 = 19¹ × 37¹ × 67¹

Step-2: 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-3: Factors of 47101

List of positive integer factors of 47101 that divides 47101 without a remainder.

1, 19, 37, 67, 703, 1273, 2479

Step-4: Factors of 47120

List of positive integer factors of 47120 that divides 47101 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47101 and 47120. The biggest common factor number is the GCF number.
So the greatest common factor 47101 and 47120 is 19.

Also check out the Least Common Multiple of 47101 and 47120