What is the Greatest Common Factor of 49616 and 49630?

Greatest common factor (GCF) of 49616 and 49630 is 14.

GCF(49616,49630) = 14

We will now calculate the prime factors of 49616 and 49630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49616 and 49630.

How to find the GCF of 49616 and 49630?

We will first find the prime factorization of 49616 and 49630. After we will calculate the factors of 49616 and 49630 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49630

Prime factors of 49630 are 2, 5, 7, 709. Prime factorization of 49630 in exponential form is:

49630 = 2¹ × 5¹ × 7¹ × 709¹

Step-3: Factors of 49616

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

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

Step-4: Factors of 49630

List of positive integer factors of 49630 that divides 49616 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 709, 1418, 3545, 4963, 7090, 9926, 24815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49616 and 49630. The biggest common factor number is the GCF number.
So the greatest common factor 49616 and 49630 is 14.

Also check out the Least Common Multiple of 49616 and 49630