What is the Greatest Common Factor of 49784 and 49796?

Greatest common factor (GCF) of 49784 and 49796 is 4.

GCF(49784,49796) = 4

We will now calculate the prime factors of 49784 and 49796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49784 and 49796.

How to find the GCF of 49784 and 49796?

We will first find the prime factorization of 49784 and 49796. After we will calculate the factors of 49784 and 49796 and find the biggest common factor number .

Step-1: Prime Factorization of 49784

Prime factors of 49784 are 2, 7, 127. Prime factorization of 49784 in exponential form is:

49784 = 2³ × 7² × 127¹

Step-2: Prime Factorization of 49796

Prime factors of 49796 are 2, 59, 211. Prime factorization of 49796 in exponential form is:

49796 = 2² × 59¹ × 211¹

Step-3: Factors of 49784

List of positive integer factors of 49784 that divides 49784 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 127, 196, 254, 392, 508, 889, 1016, 1778, 3556, 6223, 7112, 12446, 24892

Step-4: Factors of 49796

List of positive integer factors of 49796 that divides 49784 without a remainder.

1, 2, 4, 59, 118, 211, 236, 422, 844, 12449, 24898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49784 and 49796. The biggest common factor number is the GCF number.
So the greatest common factor 49784 and 49796 is 4.

Also check out the Least Common Multiple of 49784 and 49796