What is the Greatest Common Factor of 51090 and 51107?

Greatest common factor (GCF) of 51090 and 51107 is 1.

GCF(51090,51107) = 1

We will now calculate the prime factors of 51090 and 51107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51090 and 51107.

How to find the GCF of 51090 and 51107?

We will first find the prime factorization of 51090 and 51107. After we will calculate the factors of 51090 and 51107 and find the biggest common factor number .

Step-1: Prime Factorization of 51090

Prime factors of 51090 are 2, 3, 5, 13, 131. Prime factorization of 51090 in exponential form is:

51090 = 2¹ × 3¹ × 5¹ × 13¹ × 131¹

Step-2: Prime Factorization of 51107

Prime factors of 51107 are 7, 149. Prime factorization of 51107 in exponential form is:

51107 = 7³ × 149¹

Step-3: Factors of 51090

List of positive integer factors of 51090 that divides 51090 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 131, 195, 262, 390, 393, 655, 786, 1310, 1703, 1965, 3406, 3930, 5109, 8515, 10218, 17030, 25545

Step-4: Factors of 51107

List of positive integer factors of 51107 that divides 51090 without a remainder.

1, 7, 49, 149, 343, 1043, 7301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51090 and 51107. The biggest common factor number is the GCF number.
So the greatest common factor 51090 and 51107 is 1.

Also check out the Least Common Multiple of 51090 and 51107