What is the Greatest Common Factor of 2840 and 2849?

Greatest common factor (GCF) of 2840 and 2849 is 1.

GCF(2840,2849) = 1

We will now calculate the prime factors of 2840 and 2849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2840 and 2849.

How to find the GCF of 2840 and 2849?

We will first find the prime factorization of 2840 and 2849. After we will calculate the factors of 2840 and 2849 and find the biggest common factor number .

Step-1: Prime Factorization of 2840

Prime factors of 2840 are 2, 5, 71. Prime factorization of 2840 in exponential form is:

2840 = 2³ × 5¹ × 71¹

Step-2: 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-3: Factors of 2840

List of positive integer factors of 2840 that divides 2840 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420

Step-4: Factors of 2849

List of positive integer factors of 2849 that divides 2840 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2840 and 2849. The biggest common factor number is the GCF number.
So the greatest common factor 2840 and 2849 is 1.

Also check out the Least Common Multiple of 2840 and 2849