What is the Greatest Common Factor of 411 and 420?

Greatest common factor (GCF) of 411 and 420 is 3.

GCF(411,420) = 3

We will now calculate the prime factors of 411 and 420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 411 and 420.

How to find the GCF of 411 and 420?

We will first find the prime factorization of 411 and 420. After we will calculate the factors of 411 and 420 and find the biggest common factor number .

Step-1: Prime Factorization of 411

Prime factors of 411 are 3, 137. Prime factorization of 411 in exponential form is:

411 = 3¹ × 137¹

Step-2: Prime Factorization of 420

Prime factors of 420 are 2, 3, 5, 7. Prime factorization of 420 in exponential form is:

420 = 2² × 3¹ × 5¹ × 7¹

Step-3: Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1, 3, 137

Step-4: Factors of 420

List of positive integer factors of 420 that divides 411 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 411 and 420. The biggest common factor number is the GCF number.
So the greatest common factor 411 and 420 is 3.

Also check out the Least Common Multiple of 411 and 420