What is the Greatest Common Factor of 51436 and 51448?

Greatest common factor (GCF) of 51436 and 51448 is 4.

GCF(51436,51448) = 4

We will now calculate the prime factors of 51436 and 51448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51436 and 51448.

How to find the GCF of 51436 and 51448?

We will first find the prime factorization of 51436 and 51448. After we will calculate the factors of 51436 and 51448 and find the biggest common factor number .

Step-1: Prime Factorization of 51436

Prime factors of 51436 are 2, 7, 11, 167. Prime factorization of 51436 in exponential form is:

51436 = 2² × 7¹ × 11¹ × 167¹

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 51436

List of positive integer factors of 51436 that divides 51436 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 167, 308, 334, 668, 1169, 1837, 2338, 3674, 4676, 7348, 12859, 25718

Step-4: Factors of 51448

List of positive integer factors of 51448 that divides 51436 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 51436 and 51448. The biggest common factor number is the GCF number.
So the greatest common factor 51436 and 51448 is 4.

Also check out the Least Common Multiple of 51436 and 51448