What is the Greatest Common Factor of 420 and 431?

Greatest common factor (GCF) of 420 and 431 is 1.

GCF(420,431) = 1

We will now calculate the prime factors of 420 and 431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 420 and 431.

How to find the GCF of 420 and 431?

We will first find the prime factorization of 420 and 431. After we will calculate the factors of 420 and 431 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 431

Prime factors of 431 are 431. Prime factorization of 431 in exponential form is:

431 = 431¹

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 431

List of positive integer factors of 431 that divides 420 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 420 and 431. The biggest common factor number is the GCF number.
So the greatest common factor 420 and 431 is 1.

Also check out the Least Common Multiple of 420 and 431