What is the Greatest Common Factor of 54428 and 54434?

Greatest common factor (GCF) of 54428 and 54434 is 2.

GCF(54428,54434) = 2

We will now calculate the prime factors of 54428 and 54434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54428 and 54434.

How to find the GCF of 54428 and 54434?

We will first find the prime factorization of 54428 and 54434. After we will calculate the factors of 54428 and 54434 and find the biggest common factor number .

Step-1: Prime Factorization of 54428

Prime factors of 54428 are 2, 11, 1237. Prime factorization of 54428 in exponential form is:

54428 = 2² × 11¹ × 1237¹

Step-2: Prime Factorization of 54434

Prime factors of 54434 are 2, 17, 1601. Prime factorization of 54434 in exponential form is:

54434 = 2¹ × 17¹ × 1601¹

Step-3: Factors of 54428

List of positive integer factors of 54428 that divides 54428 without a remainder.

1, 2, 4, 11, 22, 44, 1237, 2474, 4948, 13607, 27214

Step-4: Factors of 54434

List of positive integer factors of 54434 that divides 54428 without a remainder.

1, 2, 17, 34, 1601, 3202, 27217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54428 and 54434. The biggest common factor number is the GCF number.
So the greatest common factor 54428 and 54434 is 2.

Also check out the Least Common Multiple of 54428 and 54434