What is the Greatest Common Factor of 47122 and 47136?

Greatest common factor (GCF) of 47122 and 47136 is 2.

GCF(47122,47136) = 2

We will now calculate the prime factors of 47122 and 47136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47122 and 47136.

How to find the GCF of 47122 and 47136?

We will first find the prime factorization of 47122 and 47136. After we will calculate the factors of 47122 and 47136 and find the biggest common factor number .

Step-1: Prime Factorization of 47122

Prime factors of 47122 are 2, 23561. Prime factorization of 47122 in exponential form is:

47122 = 2¹ × 23561¹

Step-2: 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-3: Factors of 47122

List of positive integer factors of 47122 that divides 47122 without a remainder.

1, 2, 23561

Step-4: Factors of 47136

List of positive integer factors of 47136 that divides 47122 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47122 and 47136. The biggest common factor number is the GCF number.
So the greatest common factor 47122 and 47136 is 2.

Also check out the Least Common Multiple of 47122 and 47136