What is the Greatest Common Factor of 51488 and 51494?

Greatest common factor (GCF) of 51488 and 51494 is 2.

GCF(51488,51494) = 2

We will now calculate the prime factors of 51488 and 51494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51488 and 51494.

How to find the GCF of 51488 and 51494?

We will first find the prime factorization of 51488 and 51494. After we will calculate the factors of 51488 and 51494 and find the biggest common factor number .

Step-1: Prime Factorization of 51488

Prime factors of 51488 are 2, 1609. Prime factorization of 51488 in exponential form is:

51488 = 2⁵ × 1609¹

Step-2: Prime Factorization of 51494

Prime factors of 51494 are 2, 25747. Prime factorization of 51494 in exponential form is:

51494 = 2¹ × 25747¹

Step-3: Factors of 51488

List of positive integer factors of 51488 that divides 51488 without a remainder.

1, 2, 4, 8, 16, 32, 1609, 3218, 6436, 12872, 25744

Step-4: Factors of 51494

List of positive integer factors of 51494 that divides 51488 without a remainder.

1, 2, 25747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51488 and 51494. The biggest common factor number is the GCF number.
So the greatest common factor 51488 and 51494 is 2.

Also check out the Least Common Multiple of 51488 and 51494