What is the Greatest Common Factor of 49629 and 49648?

Greatest common factor (GCF) of 49629 and 49648 is 1.

GCF(49629,49648) = 1

We will now calculate the prime factors of 49629 and 49648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49629 and 49648.

How to find the GCF of 49629 and 49648?

We will first find the prime factorization of 49629 and 49648. After we will calculate the factors of 49629 and 49648 and find the biggest common factor number .

Step-1: Prime Factorization of 49629

Prime factors of 49629 are 3, 71, 233. Prime factorization of 49629 in exponential form is:

49629 = 3¹ × 71¹ × 233¹

Step-2: 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-3: Factors of 49629

List of positive integer factors of 49629 that divides 49629 without a remainder.

1, 3, 71, 213, 233, 699, 16543

Step-4: Factors of 49648

List of positive integer factors of 49648 that divides 49629 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49629 and 49648. The biggest common factor number is the GCF number.
So the greatest common factor 49629 and 49648 is 1.

Also check out the Least Common Multiple of 49629 and 49648