What is the Greatest Common Factor of 49616 and 49622?

Greatest common factor (GCF) of 49616 and 49622 is 2.

GCF(49616,49622) = 2

We will now calculate the prime factors of 49616 and 49622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49616 and 49622.

How to find the GCF of 49616 and 49622?

We will first find the prime factorization of 49616 and 49622. After we will calculate the factors of 49616 and 49622 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 49622

Prime factors of 49622 are 2, 43, 577. Prime factorization of 49622 in exponential form is:

49622 = 2¹ × 43¹ × 577¹

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 49622

List of positive integer factors of 49622 that divides 49616 without a remainder.

1, 2, 43, 86, 577, 1154, 24811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49616 and 49622. The biggest common factor number is the GCF number.
So the greatest common factor 49616 and 49622 is 2.

Also check out the Least Common Multiple of 49616 and 49622