What is the Greatest Common Factor of 852 and 868?

Greatest common factor (GCF) of 852 and 868 is 4.

GCF(852,868) = 4

We will now calculate the prime factors of 852 and 868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 852 and 868.

How to find the GCF of 852 and 868?

We will first find the prime factorization of 852 and 868. After we will calculate the factors of 852 and 868 and find the biggest common factor number .

Step-1: Prime Factorization of 852

Prime factors of 852 are 2, 3, 71. Prime factorization of 852 in exponential form is:

852 = 2² × 3¹ × 71¹

Step-2: Prime Factorization of 868

Prime factors of 868 are 2, 7, 31. Prime factorization of 868 in exponential form is:

868 = 2² × 7¹ × 31¹

Step-3: Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426

Step-4: Factors of 868

List of positive integer factors of 868 that divides 852 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 852 and 868. The biggest common factor number is the GCF number.
So the greatest common factor 852 and 868 is 4.

Also check out the Least Common Multiple of 852 and 868