What is the Greatest Common Factor of 2825 and 2840?

Greatest common factor (GCF) of 2825 and 2840 is 5.

GCF(2825,2840) = 5

We will now calculate the prime factors of 2825 and 2840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2825 and 2840.

How to find the GCF of 2825 and 2840?

We will first find the prime factorization of 2825 and 2840. After we will calculate the factors of 2825 and 2840 and find the biggest common factor number .

Step-1: Prime Factorization of 2825

Prime factors of 2825 are 5, 113. Prime factorization of 2825 in exponential form is:

2825 = 5² × 113¹

Step-2: 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-3: Factors of 2825

List of positive integer factors of 2825 that divides 2825 without a remainder.

1, 5, 25, 113, 565

Step-4: Factors of 2840

List of positive integer factors of 2840 that divides 2825 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2825 and 2840. The biggest common factor number is the GCF number.
So the greatest common factor 2825 and 2840 is 5.

Also check out the Least Common Multiple of 2825 and 2840