What is the Greatest Common Factor of 49609 and 49616?

Greatest common factor (GCF) of 49609 and 49616 is 7.

GCF(49609,49616) = 7

We will now calculate the prime factors of 49609 and 49616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49609 and 49616.

How to find the GCF of 49609 and 49616?

We will first find the prime factorization of 49609 and 49616. After we will calculate the factors of 49609 and 49616 and find the biggest common factor number .

Step-1: Prime Factorization of 49609

Prime factors of 49609 are 7, 19, 373. Prime factorization of 49609 in exponential form is:

49609 = 7¹ × 19¹ × 373¹

Step-2: Prime Factorization of 49616

Prime factors of 49616 are 2, 7, 443. Prime factorization of 49616 in exponential form is:

49616 = 2⁴ × 7¹ × 443¹

Step-3: Factors of 49609

List of positive integer factors of 49609 that divides 49609 without a remainder.

1, 7, 19, 133, 373, 2611, 7087

Step-4: Factors of 49616

List of positive integer factors of 49616 that divides 49609 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 443, 886, 1772, 3101, 3544, 6202, 7088, 12404, 24808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49609 and 49616. The biggest common factor number is the GCF number.
So the greatest common factor 49609 and 49616 is 7.

Also check out the Least Common Multiple of 49609 and 49616