What is the Greatest Common Factor of 51438 and 51448?

Greatest common factor (GCF) of 51438 and 51448 is 2.

GCF(51438,51448) = 2

We will now calculate the prime factors of 51438 and 51448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51438 and 51448.

How to find the GCF of 51438 and 51448?

We will first find the prime factorization of 51438 and 51448. After we will calculate the factors of 51438 and 51448 and find the biggest common factor number .

Step-1: Prime Factorization of 51438

Prime factors of 51438 are 2, 3, 8573. Prime factorization of 51438 in exponential form is:

51438 = 2¹ × 3¹ × 8573¹

Step-2: Prime Factorization of 51448

Prime factors of 51448 are 2, 59, 109. Prime factorization of 51448 in exponential form is:

51448 = 2³ × 59¹ × 109¹

Step-3: Factors of 51438

List of positive integer factors of 51438 that divides 51438 without a remainder.

1, 2, 3, 6, 8573, 17146, 25719

Step-4: Factors of 51448

List of positive integer factors of 51448 that divides 51438 without a remainder.

1, 2, 4, 8, 59, 109, 118, 218, 236, 436, 472, 872, 6431, 12862, 25724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51438 and 51448. The biggest common factor number is the GCF number.
So the greatest common factor 51438 and 51448 is 2.

Also check out the Least Common Multiple of 51438 and 51448