What is the Greatest Common Factor of 49600 and 49606?

Greatest common factor (GCF) of 49600 and 49606 is 2.

GCF(49600,49606) = 2

We will now calculate the prime factors of 49600 and 49606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49600 and 49606.

How to find the GCF of 49600 and 49606?

We will first find the prime factorization of 49600 and 49606. After we will calculate the factors of 49600 and 49606 and find the biggest common factor number .

Step-1: Prime Factorization of 49600

Prime factors of 49600 are 2, 5, 31. Prime factorization of 49600 in exponential form is:

49600 = 2⁶ × 5² × 31¹

Step-2: Prime Factorization of 49606

Prime factors of 49606 are 2, 17, 1459. Prime factorization of 49606 in exponential form is:

49606 = 2¹ × 17¹ × 1459¹

Step-3: Factors of 49600

List of positive integer factors of 49600 that divides 49600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 32, 40, 50, 62, 64, 80, 100, 124, 155, 160, 200, 248, 310, 320, 400, 496, 620, 775, 800, 992, 1240, 1550, 1600, 1984, 2480, 3100, 4960, 6200, 9920, 12400, 24800

Step-4: Factors of 49606

List of positive integer factors of 49606 that divides 49600 without a remainder.

1, 2, 17, 34, 1459, 2918, 24803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49600 and 49606. The biggest common factor number is the GCF number.
So the greatest common factor 49600 and 49606 is 2.

Also check out the Least Common Multiple of 49600 and 49606