What is the Greatest Common Factor of 42852 and 42864?

Greatest common factor (GCF) of 42852 and 42864 is 12.

GCF(42852,42864) = 12

We will now calculate the prime factors of 42852 and 42864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42852 and 42864.

How to find the GCF of 42852 and 42864?

We will first find the prime factorization of 42852 and 42864. After we will calculate the factors of 42852 and 42864 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42864

Prime factors of 42864 are 2, 3, 19, 47. Prime factorization of 42864 in exponential form is:

42864 = 2⁴ × 3¹ × 19¹ × 47¹

Step-3: Factors of 42852

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

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

Step-4: Factors of 42864

List of positive integer factors of 42864 that divides 42852 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 47, 48, 57, 76, 94, 114, 141, 152, 188, 228, 282, 304, 376, 456, 564, 752, 893, 912, 1128, 1786, 2256, 2679, 3572, 5358, 7144, 10716, 14288, 21432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42852 and 42864. The biggest common factor number is the GCF number.
So the greatest common factor 42852 and 42864 is 12.

Also check out the Least Common Multiple of 42852 and 42864