What is the Greatest Common Factor of 835 and 840?

Greatest common factor (GCF) of 835 and 840 is 5.

GCF(835,840) = 5

We will now calculate the prime factors of 835 and 840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 835 and 840.

How to find the GCF of 835 and 840?

We will first find the prime factorization of 835 and 840. After we will calculate the factors of 835 and 840 and find the biggest common factor number .

Step-1: Prime Factorization of 835

Prime factors of 835 are 5, 167. Prime factorization of 835 in exponential form is:

835 = 5¹ × 167¹

Step-2: 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-3: Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1, 5, 167

Step-4: Factors of 840

List of positive integer factors of 840 that divides 835 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 835 and 840. The biggest common factor number is the GCF number.
So the greatest common factor 835 and 840 is 5.

Also check out the Least Common Multiple of 835 and 840