What is the Greatest Common Factor of 51629 and 51646?

Greatest common factor (GCF) of 51629 and 51646 is 17.

GCF(51629,51646) = 17

We will now calculate the prime factors of 51629 and 51646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51629 and 51646.

How to find the GCF of 51629 and 51646?

We will first find the prime factorization of 51629 and 51646. After we will calculate the factors of 51629 and 51646 and find the biggest common factor number .

Step-1: Prime Factorization of 51629

Prime factors of 51629 are 17, 3037. Prime factorization of 51629 in exponential form is:

51629 = 17¹ × 3037¹

Step-2: 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-3: Factors of 51629

List of positive integer factors of 51629 that divides 51629 without a remainder.

1, 17, 3037

Step-4: Factors of 51646

List of positive integer factors of 51646 that divides 51629 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51629 and 51646. The biggest common factor number is the GCF number.
So the greatest common factor 51629 and 51646 is 17.

Also check out the Least Common Multiple of 51629 and 51646