What is the Greatest Common Factor of 51044 and 51064?

Greatest common factor (GCF) of 51044 and 51064 is 4.

GCF(51044,51064) = 4

We will now calculate the prime factors of 51044 and 51064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51044 and 51064.

How to find the GCF of 51044 and 51064?

We will first find the prime factorization of 51044 and 51064. After we will calculate the factors of 51044 and 51064 and find the biggest common factor number .

Step-1: Prime Factorization of 51044

Prime factors of 51044 are 2, 7, 1823. Prime factorization of 51044 in exponential form is:

51044 = 2² × 7¹ × 1823¹

Step-2: Prime Factorization of 51064

Prime factors of 51064 are 2, 13, 491. Prime factorization of 51064 in exponential form is:

51064 = 2³ × 13¹ × 491¹

Step-3: Factors of 51044

List of positive integer factors of 51044 that divides 51044 without a remainder.

1, 2, 4, 7, 14, 28, 1823, 3646, 7292, 12761, 25522

Step-4: Factors of 51064

List of positive integer factors of 51064 that divides 51044 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 491, 982, 1964, 3928, 6383, 12766, 25532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51044 and 51064. The biggest common factor number is the GCF number.
So the greatest common factor 51044 and 51064 is 4.

Also check out the Least Common Multiple of 51044 and 51064