What is the Greatest Common Factor of 84834 and 84842?

Greatest common factor (GCF) of 84834 and 84842 is 2.

GCF(84834,84842) = 2

We will now calculate the prime factors of 84834 and 84842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84834 and 84842.

How to find the GCF of 84834 and 84842?

We will first find the prime factorization of 84834 and 84842. After we will calculate the factors of 84834 and 84842 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 84842

Prime factors of 84842 are 2, 59, 719. Prime factorization of 84842 in exponential form is:

84842 = 2¹ × 59¹ × 719¹

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 84842

List of positive integer factors of 84842 that divides 84834 without a remainder.

1, 2, 59, 118, 719, 1438, 42421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84834 and 84842. The biggest common factor number is the GCF number.
So the greatest common factor 84834 and 84842 is 2.

Also check out the Least Common Multiple of 84834 and 84842