What is the Greatest Common Factor of 49848 and 49852?

Greatest common factor (GCF) of 49848 and 49852 is 4.

GCF(49848,49852) = 4

We will now calculate the prime factors of 49848 and 49852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49848 and 49852.

How to find the GCF of 49848 and 49852?

We will first find the prime factorization of 49848 and 49852. After we will calculate the factors of 49848 and 49852 and find the biggest common factor number .

Step-1: Prime Factorization of 49848

Prime factors of 49848 are 2, 3, 31, 67. Prime factorization of 49848 in exponential form is:

49848 = 2³ × 3¹ × 31¹ × 67¹

Step-2: Prime Factorization of 49852

Prime factors of 49852 are 2, 11, 103. Prime factorization of 49852 in exponential form is:

49852 = 2² × 11² × 103¹

Step-3: Factors of 49848

List of positive integer factors of 49848 that divides 49848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 67, 93, 124, 134, 186, 201, 248, 268, 372, 402, 536, 744, 804, 1608, 2077, 4154, 6231, 8308, 12462, 16616, 24924

Step-4: Factors of 49852

List of positive integer factors of 49852 that divides 49848 without a remainder.

1, 2, 4, 11, 22, 44, 103, 121, 206, 242, 412, 484, 1133, 2266, 4532, 12463, 24926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49848 and 49852. The biggest common factor number is the GCF number.
So the greatest common factor 49848 and 49852 is 4.

Also check out the Least Common Multiple of 49848 and 49852