What is the Greatest Common Factor of 420 and 437?

Greatest common factor (GCF) of 420 and 437 is 1.

GCF(420,437) = 1

We will now calculate the prime factors of 420 and 437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 420 and 437.

How to find the GCF of 420 and 437?

We will first find the prime factorization of 420 and 437. After we will calculate the factors of 420 and 437 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 437

Prime factors of 437 are 19, 23. Prime factorization of 437 in exponential form is:

437 = 19¹ × 23¹

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 437

List of positive integer factors of 437 that divides 420 without a remainder.

1, 19, 23

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 420 and 437. The biggest common factor number is the GCF number.
So the greatest common factor 420 and 437 is 1.

Also check out the Least Common Multiple of 420 and 437