What is the Greatest Common Factor of 49035 and 49049?

Greatest common factor (GCF) of 49035 and 49049 is 7.

GCF(49035,49049) = 7

We will now calculate the prime factors of 49035 and 49049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49035 and 49049.

How to find the GCF of 49035 and 49049?

We will first find the prime factorization of 49035 and 49049. After we will calculate the factors of 49035 and 49049 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 49049

Prime factors of 49049 are 7, 11, 13. Prime factorization of 49049 in exponential form is:

49049 = 7³ × 11¹ × 13¹

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 49049

List of positive integer factors of 49049 that divides 49035 without a remainder.

1, 7, 11, 13, 49, 77, 91, 143, 343, 539, 637, 1001, 3773, 4459, 7007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49035 and 49049. The biggest common factor number is the GCF number.
So the greatest common factor 49035 and 49049 is 7.

Also check out the Least Common Multiple of 49035 and 49049