What is the Greatest Common Factor of 51646 and 51665?

Greatest common factor (GCF) of 51646 and 51665 is 1.

GCF(51646,51665) = 1

We will now calculate the prime factors of 51646 and 51665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51646 and 51665.

How to find the GCF of 51646 and 51665?

We will first find the prime factorization of 51646 and 51665. After we will calculate the factors of 51646 and 51665 and find the biggest common factor number .

Step-1: Prime Factorization of 51646

Prime factors of 51646 are 2, 7, 17, 31. Prime factorization of 51646 in exponential form is:

51646 = 2¹ × 7² × 17¹ × 31¹

Step-2: Prime Factorization of 51665

Prime factors of 51665 are 5, 10333. Prime factorization of 51665 in exponential form is:

51665 = 5¹ × 10333¹

Step-3: Factors of 51646

List of positive integer factors of 51646 that divides 51646 without a remainder.

1, 2, 7, 14, 17, 31, 34, 49, 62, 98, 119, 217, 238, 434, 527, 833, 1054, 1519, 1666, 3038, 3689, 7378, 25823

Step-4: Factors of 51665

List of positive integer factors of 51665 that divides 51646 without a remainder.

1, 5, 10333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51646 and 51665. The biggest common factor number is the GCF number.
So the greatest common factor 51646 and 51665 is 1.

Also check out the Least Common Multiple of 51646 and 51665