What is the Greatest Common Factor of 53663 and 53677?

Greatest common factor (GCF) of 53663 and 53677 is 1.

GCF(53663,53677) = 1

We will now calculate the prime factors of 53663 and 53677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53663 and 53677.

How to find the GCF of 53663 and 53677?

We will first find the prime factorization of 53663 and 53677. After we will calculate the factors of 53663 and 53677 and find the biggest common factor number .

Step-1: Prime Factorization of 53663

Prime factors of 53663 are 103, 521. Prime factorization of 53663 in exponential form is:

53663 = 103¹ × 521¹

Step-2: Prime Factorization of 53677

Prime factors of 53677 are 13, 4129. Prime factorization of 53677 in exponential form is:

53677 = 13¹ × 4129¹

Step-3: Factors of 53663

List of positive integer factors of 53663 that divides 53663 without a remainder.

1, 103, 521

Step-4: Factors of 53677

List of positive integer factors of 53677 that divides 53663 without a remainder.

1, 13, 4129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53663 and 53677. The biggest common factor number is the GCF number.
So the greatest common factor 53663 and 53677 is 1.

Also check out the Least Common Multiple of 53663 and 53677