What is the Greatest Common Factor of 840 and 846?

Greatest common factor (GCF) of 840 and 846 is 6.

GCF(840,846) = 6

We will now calculate the prime factors of 840 and 846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 840 and 846.

How to find the GCF of 840 and 846?

We will first find the prime factorization of 840 and 846. After we will calculate the factors of 840 and 846 and find the biggest common factor number .

Step-1: Prime Factorization of 840

Prime factors of 840 are 2, 3, 5, 7. Prime factorization of 840 in exponential form is:

840 = 2³ × 3¹ × 5¹ × 7¹

Step-2: Prime Factorization of 846

Prime factors of 846 are 2, 3, 47. Prime factorization of 846 in exponential form is:

846 = 2¹ × 3² × 47¹

Step-3: Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420

Step-4: Factors of 846

List of positive integer factors of 846 that divides 840 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 840 and 846. The biggest common factor number is the GCF number.
So the greatest common factor 840 and 846 is 6.

Also check out the Least Common Multiple of 840 and 846