What is the Greatest Common Factor of 426 and 440?

Greatest common factor (GCF) of 426 and 440 is 2.

GCF(426,440) = 2

We will now calculate the prime factors of 426 and 440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 426 and 440.

How to find the GCF of 426 and 440?

We will first find the prime factorization of 426 and 440. After we will calculate the factors of 426 and 440 and find the biggest common factor number .

Step-1: Prime Factorization of 426

Prime factors of 426 are 2, 3, 71. Prime factorization of 426 in exponential form is:

426 = 2¹ × 3¹ × 71¹

Step-2: Prime Factorization of 440

Prime factors of 440 are 2, 5, 11. Prime factorization of 440 in exponential form is:

440 = 2³ × 5¹ × 11¹

Step-3: Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213

Step-4: Factors of 440

List of positive integer factors of 440 that divides 426 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 426 and 440. The biggest common factor number is the GCF number.
So the greatest common factor 426 and 440 is 2.

Also check out the Least Common Multiple of 426 and 440