What is the Greatest Common Factor of 47136 and 47153?

Greatest common factor (GCF) of 47136 and 47153 is 1.

GCF(47136,47153) = 1

We will now calculate the prime factors of 47136 and 47153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47136 and 47153.

How to find the GCF of 47136 and 47153?

We will first find the prime factorization of 47136 and 47153. After we will calculate the factors of 47136 and 47153 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 47153

Prime factors of 47153 are 61, 773. Prime factorization of 47153 in exponential form is:

47153 = 61¹ × 773¹

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 47153

List of positive integer factors of 47153 that divides 47136 without a remainder.

1, 61, 773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47136 and 47153. The biggest common factor number is the GCF number.
So the greatest common factor 47136 and 47153 is 1.

Also check out the Least Common Multiple of 47136 and 47153