What is the Greatest Common Factor of 47088 and 47101?

Greatest common factor (GCF) of 47088 and 47101 is 1.

GCF(47088,47101) = 1

We will now calculate the prime factors of 47088 and 47101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47088 and 47101.

How to find the GCF of 47088 and 47101?

We will first find the prime factorization of 47088 and 47101. After we will calculate the factors of 47088 and 47101 and find the biggest common factor number .

Step-1: Prime Factorization of 47088

Prime factors of 47088 are 2, 3, 109. Prime factorization of 47088 in exponential form is:

47088 = 2⁴ × 3³ × 109¹

Step-2: 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-3: Factors of 47088

List of positive integer factors of 47088 that divides 47088 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 109, 144, 216, 218, 327, 432, 436, 654, 872, 981, 1308, 1744, 1962, 2616, 2943, 3924, 5232, 5886, 7848, 11772, 15696, 23544

Step-4: Factors of 47101

List of positive integer factors of 47101 that divides 47088 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47088 and 47101. The biggest common factor number is the GCF number.
So the greatest common factor 47088 and 47101 is 1.

Also check out the Least Common Multiple of 47088 and 47101