What is the Greatest Common Factor of 49106 and 49122?

Greatest common factor (GCF) of 49106 and 49122 is 2.

GCF(49106,49122) = 2

We will now calculate the prime factors of 49106 and 49122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49106 and 49122.

How to find the GCF of 49106 and 49122?

We will first find the prime factorization of 49106 and 49122. After we will calculate the factors of 49106 and 49122 and find the biggest common factor number .

Step-1: Prime Factorization of 49106

Prime factors of 49106 are 2, 43, 571. Prime factorization of 49106 in exponential form is:

49106 = 2¹ × 43¹ × 571¹

Step-2: Prime Factorization of 49122

Prime factors of 49122 are 2, 3, 2729. Prime factorization of 49122 in exponential form is:

49122 = 2¹ × 3² × 2729¹

Step-3: Factors of 49106

List of positive integer factors of 49106 that divides 49106 without a remainder.

1, 2, 43, 86, 571, 1142, 24553

Step-4: Factors of 49122

List of positive integer factors of 49122 that divides 49106 without a remainder.

1, 2, 3, 6, 9, 18, 2729, 5458, 8187, 16374, 24561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49106 and 49122. The biggest common factor number is the GCF number.
So the greatest common factor 49106 and 49122 is 2.

Also check out the Least Common Multiple of 49106 and 49122