What is the Greatest Common Factor of 852 and 860?

Greatest common factor (GCF) of 852 and 860 is 4.

GCF(852,860) = 4

We will now calculate the prime factors of 852 and 860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 852 and 860.

How to find the GCF of 852 and 860?

We will first find the prime factorization of 852 and 860. After we will calculate the factors of 852 and 860 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 860

Prime factors of 860 are 2, 5, 43. Prime factorization of 860 in exponential form is:

860 = 2² × 5¹ × 43¹

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 860

List of positive integer factors of 860 that divides 852 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 852 and 860. The biggest common factor number is the GCF number.
So the greatest common factor 852 and 860 is 4.

Also check out the Least Common Multiple of 852 and 860