What is the Greatest Common Factor of 84834 and 84852?

Greatest common factor (GCF) of 84834 and 84852 is 18.

GCF(84834,84852) = 18

We will now calculate the prime factors of 84834 and 84852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84834 and 84852.

How to find the GCF of 84834 and 84852?

We will first find the prime factorization of 84834 and 84852. After we will calculate the factors of 84834 and 84852 and find the biggest common factor number .

Step-1: Prime Factorization of 84834

Prime factors of 84834 are 2, 3, 1571. Prime factorization of 84834 in exponential form is:

84834 = 2¹ × 3³ × 1571¹

Step-2: Prime Factorization of 84852

Prime factors of 84852 are 2, 3, 2357. Prime factorization of 84852 in exponential form is:

84852 = 2² × 3² × 2357¹

Step-3: Factors of 84834

List of positive integer factors of 84834 that divides 84834 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1571, 3142, 4713, 9426, 14139, 28278, 42417

Step-4: Factors of 84852

List of positive integer factors of 84852 that divides 84834 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2357, 4714, 7071, 9428, 14142, 21213, 28284, 42426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84834 and 84852. The biggest common factor number is the GCF number.
So the greatest common factor 84834 and 84852 is 18.

Also check out the Least Common Multiple of 84834 and 84852