What is the Greatest Common Factor of 47122 and 47128?

Greatest common factor (GCF) of 47122 and 47128 is 2.

GCF(47122,47128) = 2

We will now calculate the prime factors of 47122 and 47128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47122 and 47128.

How to find the GCF of 47122 and 47128?

We will first find the prime factorization of 47122 and 47128. After we will calculate the factors of 47122 and 47128 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 47128

Prime factors of 47128 are 2, 43, 137. Prime factorization of 47128 in exponential form is:

47128 = 2³ × 43¹ × 137¹

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 47128

List of positive integer factors of 47128 that divides 47122 without a remainder.

1, 2, 4, 8, 43, 86, 137, 172, 274, 344, 548, 1096, 5891, 11782, 23564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47122 and 47128. The biggest common factor number is the GCF number.
So the greatest common factor 47122 and 47128 is 2.

Also check out the Least Common Multiple of 47122 and 47128