What is the Greatest Common Factor of 53649 and 53661?

Greatest common factor (GCF) of 53649 and 53661 is 3.

GCF(53649,53661) = 3

We will now calculate the prime factors of 53649 and 53661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53649 and 53661.

How to find the GCF of 53649 and 53661?

We will first find the prime factorization of 53649 and 53661. After we will calculate the factors of 53649 and 53661 and find the biggest common factor number .

Step-1: Prime Factorization of 53649

Prime factors of 53649 are 3, 1987. Prime factorization of 53649 in exponential form is:

53649 = 3³ × 1987¹

Step-2: Prime Factorization of 53661

Prime factors of 53661 are 3, 31, 577. Prime factorization of 53661 in exponential form is:

53661 = 3¹ × 31¹ × 577¹

Step-3: Factors of 53649

List of positive integer factors of 53649 that divides 53649 without a remainder.

1, 3, 9, 27, 1987, 5961, 17883

Step-4: Factors of 53661

List of positive integer factors of 53661 that divides 53649 without a remainder.

1, 3, 31, 93, 577, 1731, 17887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53649 and 53661. The biggest common factor number is the GCF number.
So the greatest common factor 53649 and 53661 is 3.

Also check out the Least Common Multiple of 53649 and 53661