What is the Greatest Common Factor of 49100 and 49106?

Greatest common factor (GCF) of 49100 and 49106 is 2.

GCF(49100,49106) = 2

We will now calculate the prime factors of 49100 and 49106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49100 and 49106.

How to find the GCF of 49100 and 49106?

We will first find the prime factorization of 49100 and 49106. After we will calculate the factors of 49100 and 49106 and find the biggest common factor number .

Step-1: Prime Factorization of 49100

Prime factors of 49100 are 2, 5, 491. Prime factorization of 49100 in exponential form is:

49100 = 2² × 5² × 491¹

Step-2: 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-3: Factors of 49100

List of positive integer factors of 49100 that divides 49100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 491, 982, 1964, 2455, 4910, 9820, 12275, 24550

Step-4: Factors of 49106

List of positive integer factors of 49106 that divides 49100 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49100 and 49106. The biggest common factor number is the GCF number.
So the greatest common factor 49100 and 49106 is 2.

Also check out the Least Common Multiple of 49100 and 49106