What is the Greatest Common Factor of 53637 and 53652?

Greatest common factor (GCF) of 53637 and 53652 is 3.

GCF(53637,53652) = 3

We will now calculate the prime factors of 53637 and 53652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53637 and 53652.

How to find the GCF of 53637 and 53652?

We will first find the prime factorization of 53637 and 53652. After we will calculate the factors of 53637 and 53652 and find the biggest common factor number .

Step-1: Prime Factorization of 53637

Prime factors of 53637 are 3, 19, 941. Prime factorization of 53637 in exponential form is:

53637 = 3¹ × 19¹ × 941¹

Step-2: Prime Factorization of 53652

Prime factors of 53652 are 2, 3, 17, 263. Prime factorization of 53652 in exponential form is:

53652 = 2² × 3¹ × 17¹ × 263¹

Step-3: Factors of 53637

List of positive integer factors of 53637 that divides 53637 without a remainder.

1, 3, 19, 57, 941, 2823, 17879

Step-4: Factors of 53652

List of positive integer factors of 53652 that divides 53637 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 263, 526, 789, 1052, 1578, 3156, 4471, 8942, 13413, 17884, 26826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53637 and 53652. The biggest common factor number is the GCF number.
So the greatest common factor 53637 and 53652 is 3.

Also check out the Least Common Multiple of 53637 and 53652