What is the Greatest Common Factor of 401 and 420?

Greatest common factor (GCF) of 401 and 420 is 1.

GCF(401,420) = 1

We will now calculate the prime factors of 401 and 420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 401 and 420.

How to find the GCF of 401 and 420?

We will first find the prime factorization of 401 and 420. After we will calculate the factors of 401 and 420 and find the biggest common factor number .

Step-1: Prime Factorization of 401

Prime factors of 401 are 401. Prime factorization of 401 in exponential form is:

401 = 401¹

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 401

List of positive integer factors of 401 that divides 401 without a remainder.

Step-4: Factors of 420

List of positive integer factors of 420 that divides 401 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 401 and 420. The biggest common factor number is the GCF number.
So the greatest common factor 401 and 420 is 1.

Also check out the Least Common Multiple of 401 and 420