What is the Greatest Common Factor of 47136 and 47149?

Greatest common factor (GCF) of 47136 and 47149 is 1.

GCF(47136,47149) = 1

We will now calculate the prime factors of 47136 and 47149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47136 and 47149.

How to find the GCF of 47136 and 47149?

We will first find the prime factorization of 47136 and 47149. After we will calculate the factors of 47136 and 47149 and find the biggest common factor number .

Step-1: Prime Factorization of 47136

Prime factors of 47136 are 2, 3, 491. Prime factorization of 47136 in exponential form is:

47136 = 2⁵ × 3¹ × 491¹

Step-2: Prime Factorization of 47149

Prime factors of 47149 are 47149. Prime factorization of 47149 in exponential form is:

47149 = 47149¹

Step-3: Factors of 47136

List of positive integer factors of 47136 that divides 47136 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 491, 982, 1473, 1964, 2946, 3928, 5892, 7856, 11784, 15712, 23568

Step-4: Factors of 47149

List of positive integer factors of 47149 that divides 47136 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47136 and 47149. The biggest common factor number is the GCF number.
So the greatest common factor 47136 and 47149 is 1.

Also check out the Least Common Multiple of 47136 and 47149