What is the Greatest Common Factor of 49049 and 49060?

Greatest common factor (GCF) of 49049 and 49060 is 11.

GCF(49049,49060) = 11

We will now calculate the prime factors of 49049 and 49060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49049 and 49060.

How to find the GCF of 49049 and 49060?

We will first find the prime factorization of 49049 and 49060. After we will calculate the factors of 49049 and 49060 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49060

Prime factors of 49060 are 2, 5, 11, 223. Prime factorization of 49060 in exponential form is:

49060 = 2² × 5¹ × 11¹ × 223¹

Step-3: Factors of 49049

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

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

Step-4: Factors of 49060

List of positive integer factors of 49060 that divides 49049 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 223, 446, 892, 1115, 2230, 2453, 4460, 4906, 9812, 12265, 24530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49049 and 49060. The biggest common factor number is the GCF number.
So the greatest common factor 49049 and 49060 is 11.

Also check out the Least Common Multiple of 49049 and 49060