What is the Greatest Common Factor of 2840 and 2852?

Greatest common factor (GCF) of 2840 and 2852 is 4.

GCF(2840,2852) = 4

We will now calculate the prime factors of 2840 and 2852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2840 and 2852.

How to find the GCF of 2840 and 2852?

We will first find the prime factorization of 2840 and 2852. After we will calculate the factors of 2840 and 2852 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 2852

Prime factors of 2852 are 2, 23, 31. Prime factorization of 2852 in exponential form is:

2852 = 2² × 23¹ × 31¹

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 2852

List of positive integer factors of 2852 that divides 2840 without a remainder.

1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2840 and 2852. The biggest common factor number is the GCF number.
So the greatest common factor 2840 and 2852 is 4.

Also check out the Least Common Multiple of 2840 and 2852