What is the Greatest Common Factor of 70821 and 70839?

Greatest common factor (GCF) of 70821 and 70839 is 9.

GCF(70821,70839) = 9

We will now calculate the prime factors of 70821 and 70839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70821 and 70839.

How to find the GCF of 70821 and 70839?

We will first find the prime factorization of 70821 and 70839. After we will calculate the factors of 70821 and 70839 and find the biggest common factor number .

Step-1: Prime Factorization of 70821

Prime factors of 70821 are 3, 43, 61. Prime factorization of 70821 in exponential form is:

70821 = 3³ × 43¹ × 61¹

Step-2: Prime Factorization of 70839

Prime factors of 70839 are 3, 17, 463. Prime factorization of 70839 in exponential form is:

70839 = 3² × 17¹ × 463¹

Step-3: Factors of 70821

List of positive integer factors of 70821 that divides 70821 without a remainder.

1, 3, 9, 27, 43, 61, 129, 183, 387, 549, 1161, 1647, 2623, 7869, 23607

Step-4: Factors of 70839

List of positive integer factors of 70839 that divides 70821 without a remainder.

1, 3, 9, 17, 51, 153, 463, 1389, 4167, 7871, 23613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70821 and 70839. The biggest common factor number is the GCF number.
So the greatest common factor 70821 and 70839 is 9.

Also check out the Least Common Multiple of 70821 and 70839