What is the Greatest Common Factor of 53652 and 53669?

Greatest common factor (GCF) of 53652 and 53669 is 17.

GCF(53652,53669) = 17

We will now calculate the prime factors of 53652 and 53669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53652 and 53669.

How to find the GCF of 53652 and 53669?

We will first find the prime factorization of 53652 and 53669. After we will calculate the factors of 53652 and 53669 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53669

Prime factors of 53669 are 7, 11, 17, 41. Prime factorization of 53669 in exponential form is:

53669 = 7¹ × 11¹ × 17¹ × 41¹

Step-3: Factors of 53652

List of positive integer factors of 53652 that divides 53652 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

Step-4: Factors of 53669

List of positive integer factors of 53669 that divides 53652 without a remainder.

1, 7, 11, 17, 41, 77, 119, 187, 287, 451, 697, 1309, 3157, 4879, 7667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53652 and 53669. The biggest common factor number is the GCF number.
So the greatest common factor 53652 and 53669 is 17.

Also check out the Least Common Multiple of 53652 and 53669