What is the Greatest Common Factor of 49035 and 49044?

Greatest common factor (GCF) of 49035 and 49044 is 3.

GCF(49035,49044) = 3

We will now calculate the prime factors of 49035 and 49044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49035 and 49044.

How to find the GCF of 49035 and 49044?

We will first find the prime factorization of 49035 and 49044. After we will calculate the factors of 49035 and 49044 and find the biggest common factor number .

Step-1: Prime Factorization of 49035

Prime factors of 49035 are 3, 5, 7, 467. Prime factorization of 49035 in exponential form is:

49035 = 3¹ × 5¹ × 7¹ × 467¹

Step-2: Prime Factorization of 49044

Prime factors of 49044 are 2, 3, 61, 67. Prime factorization of 49044 in exponential form is:

49044 = 2² × 3¹ × 61¹ × 67¹

Step-3: Factors of 49035

List of positive integer factors of 49035 that divides 49035 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 467, 1401, 2335, 3269, 7005, 9807, 16345

Step-4: Factors of 49044

List of positive integer factors of 49044 that divides 49035 without a remainder.

1, 2, 3, 4, 6, 12, 61, 67, 122, 134, 183, 201, 244, 268, 366, 402, 732, 804, 4087, 8174, 12261, 16348, 24522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49035 and 49044. The biggest common factor number is the GCF number.
So the greatest common factor 49035 and 49044 is 3.

Also check out the Least Common Multiple of 49035 and 49044