What is the Greatest Common Factor of 51121 and 51128?

Greatest common factor (GCF) of 51121 and 51128 is 7.

GCF(51121,51128) = 7

We will now calculate the prime factors of 51121 and 51128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51121 and 51128.

How to find the GCF of 51121 and 51128?

We will first find the prime factorization of 51121 and 51128. After we will calculate the factors of 51121 and 51128 and find the biggest common factor number .

Step-1: Prime Factorization of 51121

Prime factors of 51121 are 7, 67, 109. Prime factorization of 51121 in exponential form is:

51121 = 7¹ × 67¹ × 109¹

Step-2: Prime Factorization of 51128

Prime factors of 51128 are 2, 7, 11, 83. Prime factorization of 51128 in exponential form is:

51128 = 2³ × 7¹ × 11¹ × 83¹

Step-3: Factors of 51121

List of positive integer factors of 51121 that divides 51121 without a remainder.

1, 7, 67, 109, 469, 763, 7303

Step-4: Factors of 51128

List of positive integer factors of 51128 that divides 51121 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 83, 88, 154, 166, 308, 332, 581, 616, 664, 913, 1162, 1826, 2324, 3652, 4648, 6391, 7304, 12782, 25564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51121 and 51128. The biggest common factor number is the GCF number.
So the greatest common factor 51121 and 51128 is 7.

Also check out the Least Common Multiple of 51121 and 51128