What is the Greatest Common Factor of 438 and 451?

Greatest common factor (GCF) of 438 and 451 is 1.

GCF(438,451) = 1

We will now calculate the prime factors of 438 and 451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 438 and 451.

How to find the GCF of 438 and 451?

We will first find the prime factorization of 438 and 451. After we will calculate the factors of 438 and 451 and find the biggest common factor number .

Step-1: Prime Factorization of 438

Prime factors of 438 are 2, 3, 73. Prime factorization of 438 in exponential form is:

438 = 2¹ × 3¹ × 73¹

Step-2: Prime Factorization of 451

Prime factors of 451 are 11, 41. Prime factorization of 451 in exponential form is:

451 = 11¹ × 41¹

Step-3: Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219

Step-4: Factors of 451

List of positive integer factors of 451 that divides 438 without a remainder.

1, 11, 41

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 438 and 451. The biggest common factor number is the GCF number.
So the greatest common factor 438 and 451 is 1.

Also check out the Least Common Multiple of 438 and 451