What is the Greatest Common Factor of 52629 and 52649?

Greatest common factor (GCF) of 52629 and 52649 is 1.

GCF(52629,52649) = 1

We will now calculate the prime factors of 52629 and 52649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52629 and 52649.

How to find the GCF of 52629 and 52649?

We will first find the prime factorization of 52629 and 52649. After we will calculate the factors of 52629 and 52649 and find the biggest common factor number .

Step-1: Prime Factorization of 52629

Prime factors of 52629 are 3, 53, 331. Prime factorization of 52629 in exponential form is:

52629 = 3¹ × 53¹ × 331¹

Step-2: Prime Factorization of 52649

Prime factors of 52649 are 17, 19, 163. Prime factorization of 52649 in exponential form is:

52649 = 17¹ × 19¹ × 163¹

Step-3: Factors of 52629

List of positive integer factors of 52629 that divides 52629 without a remainder.

1, 3, 53, 159, 331, 993, 17543

Step-4: Factors of 52649

List of positive integer factors of 52649 that divides 52629 without a remainder.

1, 17, 19, 163, 323, 2771, 3097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52629 and 52649. The biggest common factor number is the GCF number.
So the greatest common factor 52629 and 52649 is 1.

Also check out the Least Common Multiple of 52629 and 52649