What is the Greatest Common Factor of 49812 and 49816?

Greatest common factor (GCF) of 49812 and 49816 is 4.

GCF(49812,49816) = 4

We will now calculate the prime factors of 49812 and 49816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49812 and 49816.

How to find the GCF of 49812 and 49816?

We will first find the prime factorization of 49812 and 49816. After we will calculate the factors of 49812 and 49816 and find the biggest common factor number .

Step-1: Prime Factorization of 49812

Prime factors of 49812 are 2, 3, 7, 593. Prime factorization of 49812 in exponential form is:

49812 = 2² × 3¹ × 7¹ × 593¹

Step-2: Prime Factorization of 49816

Prime factors of 49816 are 2, 13, 479. Prime factorization of 49816 in exponential form is:

49816 = 2³ × 13¹ × 479¹

Step-3: Factors of 49812

List of positive integer factors of 49812 that divides 49812 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 593, 1186, 1779, 2372, 3558, 4151, 7116, 8302, 12453, 16604, 24906

Step-4: Factors of 49816

List of positive integer factors of 49816 that divides 49812 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 479, 958, 1916, 3832, 6227, 12454, 24908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49812 and 49816. The biggest common factor number is the GCF number.
So the greatest common factor 49812 and 49816 is 4.

Also check out the Least Common Multiple of 49812 and 49816