What is the Greatest Common Factor of 51404 and 51424?

Greatest common factor (GCF) of 51404 and 51424 is 4.

GCF(51404,51424) = 4

We will now calculate the prime factors of 51404 and 51424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51404 and 51424.

How to find the GCF of 51404 and 51424?

We will first find the prime factorization of 51404 and 51424. After we will calculate the factors of 51404 and 51424 and find the biggest common factor number .

Step-1: Prime Factorization of 51404

Prime factors of 51404 are 2, 71, 181. Prime factorization of 51404 in exponential form is:

51404 = 2² × 71¹ × 181¹

Step-2: Prime Factorization of 51424

Prime factors of 51424 are 2, 1607. Prime factorization of 51424 in exponential form is:

51424 = 2⁵ × 1607¹

Step-3: Factors of 51404

List of positive integer factors of 51404 that divides 51404 without a remainder.

1, 2, 4, 71, 142, 181, 284, 362, 724, 12851, 25702

Step-4: Factors of 51424

List of positive integer factors of 51424 that divides 51404 without a remainder.

1, 2, 4, 8, 16, 32, 1607, 3214, 6428, 12856, 25712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51404 and 51424. The biggest common factor number is the GCF number.
So the greatest common factor 51404 and 51424 is 4.

Also check out the Least Common Multiple of 51404 and 51424