What is the Greatest Common Factor of 49648 and 49654?

Greatest common factor (GCF) of 49648 and 49654 is 2.

GCF(49648,49654) = 2

We will now calculate the prime factors of 49648 and 49654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49648 and 49654.

How to find the GCF of 49648 and 49654?

We will first find the prime factorization of 49648 and 49654. After we will calculate the factors of 49648 and 49654 and find the biggest common factor number .

Step-1: Prime Factorization of 49648

Prime factors of 49648 are 2, 29, 107. Prime factorization of 49648 in exponential form is:

49648 = 2⁴ × 29¹ × 107¹

Step-2: Prime Factorization of 49654

Prime factors of 49654 are 2, 11, 37, 61. Prime factorization of 49654 in exponential form is:

49654 = 2¹ × 11¹ × 37¹ × 61¹

Step-3: Factors of 49648

List of positive integer factors of 49648 that divides 49648 without a remainder.

1, 2, 4, 8, 16, 29, 58, 107, 116, 214, 232, 428, 464, 856, 1712, 3103, 6206, 12412, 24824

Step-4: Factors of 49654

List of positive integer factors of 49654 that divides 49648 without a remainder.

1, 2, 11, 22, 37, 61, 74, 122, 407, 671, 814, 1342, 2257, 4514, 24827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49648 and 49654. The biggest common factor number is the GCF number.
So the greatest common factor 49648 and 49654 is 2.

Also check out the Least Common Multiple of 49648 and 49654