What is the Greatest Common Factor of 420 and 439?

Greatest common factor (GCF) of 420 and 439 is 1.

GCF(420,439) = 1

We will now calculate the prime factors of 420 and 439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 420 and 439.

How to find the GCF of 420 and 439?

We will first find the prime factorization of 420 and 439. After we will calculate the factors of 420 and 439 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 439

Prime factors of 439 are 439. Prime factorization of 439 in exponential form is:

439 = 439¹

Step-3: Factors of 420

List of positive integer factors of 420 that divides 420 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

Step-4: Factors of 439

List of positive integer factors of 439 that divides 420 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 420 and 439. The biggest common factor number is the GCF number.
So the greatest common factor 420 and 439 is 1.

Also check out the Least Common Multiple of 420 and 439