What is the Greatest Common Factor of 49038 and 49052?

Greatest common factor (GCF) of 49038 and 49052 is 2.

GCF(49038,49052) = 2

We will now calculate the prime factors of 49038 and 49052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49038 and 49052.

How to find the GCF of 49038 and 49052?

We will first find the prime factorization of 49038 and 49052. After we will calculate the factors of 49038 and 49052 and find the biggest common factor number .

Step-1: Prime Factorization of 49038

Prime factors of 49038 are 2, 3, 11, 743. Prime factorization of 49038 in exponential form is:

49038 = 2¹ × 3¹ × 11¹ × 743¹

Step-2: Prime Factorization of 49052

Prime factors of 49052 are 2, 12263. Prime factorization of 49052 in exponential form is:

49052 = 2² × 12263¹

Step-3: Factors of 49038

List of positive integer factors of 49038 that divides 49038 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 743, 1486, 2229, 4458, 8173, 16346, 24519

Step-4: Factors of 49052

List of positive integer factors of 49052 that divides 49038 without a remainder.

1, 2, 4, 12263, 24526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49038 and 49052. The biggest common factor number is the GCF number.
So the greatest common factor 49038 and 49052 is 2.

Also check out the Least Common Multiple of 49038 and 49052