What is the Greatest Common Factor of 2849 and 2853?

Greatest common factor (GCF) of 2849 and 2853 is 1.

GCF(2849,2853) = 1

We will now calculate the prime factors of 2849 and 2853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2849 and 2853.

How to find the GCF of 2849 and 2853?

We will first find the prime factorization of 2849 and 2853. After we will calculate the factors of 2849 and 2853 and find the biggest common factor number .

Step-1: Prime Factorization of 2849

Prime factors of 2849 are 7, 11, 37. Prime factorization of 2849 in exponential form is:

2849 = 7¹ × 11¹ × 37¹

Step-2: Prime Factorization of 2853

Prime factors of 2853 are 3, 317. Prime factorization of 2853 in exponential form is:

2853 = 3² × 317¹

Step-3: Factors of 2849

List of positive integer factors of 2849 that divides 2849 without a remainder.

1, 7, 11, 37, 77, 259, 407

Step-4: Factors of 2853

List of positive integer factors of 2853 that divides 2849 without a remainder.

1, 3, 9, 317, 951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2849 and 2853. The biggest common factor number is the GCF number.
So the greatest common factor 2849 and 2853 is 1.

Also check out the Least Common Multiple of 2849 and 2853