What is the Greatest Common Factor of 42848 and 42852?

Greatest common factor (GCF) of 42848 and 42852 is 4.

GCF(42848,42852) = 4

We will now calculate the prime factors of 42848 and 42852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42848 and 42852.

How to find the GCF of 42848 and 42852?

We will first find the prime factorization of 42848 and 42852. After we will calculate the factors of 42848 and 42852 and find the biggest common factor number .

Step-1: Prime Factorization of 42848

Prime factors of 42848 are 2, 13, 103. Prime factorization of 42848 in exponential form is:

42848 = 2⁵ × 13¹ × 103¹

Step-2: Prime Factorization of 42852

Prime factors of 42852 are 2, 3, 3571. Prime factorization of 42852 in exponential form is:

42852 = 2² × 3¹ × 3571¹

Step-3: Factors of 42848

List of positive integer factors of 42848 that divides 42848 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 103, 104, 206, 208, 412, 416, 824, 1339, 1648, 2678, 3296, 5356, 10712, 21424

Step-4: Factors of 42852

List of positive integer factors of 42852 that divides 42848 without a remainder.

1, 2, 3, 4, 6, 12, 3571, 7142, 10713, 14284, 21426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42848 and 42852. The biggest common factor number is the GCF number.
So the greatest common factor 42848 and 42852 is 4.

Also check out the Least Common Multiple of 42848 and 42852