What is the Greatest Common Factor of 87652 and 87669?

Greatest common factor (GCF) of 87652 and 87669 is 17.

GCF(87652,87669) = 17

We will now calculate the prime factors of 87652 and 87669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87652 and 87669.

How to find the GCF of 87652 and 87669?

We will first find the prime factorization of 87652 and 87669. After we will calculate the factors of 87652 and 87669 and find the biggest common factor number .

Step-1: Prime Factorization of 87652

Prime factors of 87652 are 2, 17, 1289. Prime factorization of 87652 in exponential form is:

87652 = 2² × 17¹ × 1289¹

Step-2: Prime Factorization of 87669

Prime factors of 87669 are 3, 17, 191. Prime factorization of 87669 in exponential form is:

87669 = 3³ × 17¹ × 191¹

Step-3: Factors of 87652

List of positive integer factors of 87652 that divides 87652 without a remainder.

1, 2, 4, 17, 34, 68, 1289, 2578, 5156, 21913, 43826

Step-4: Factors of 87669

List of positive integer factors of 87669 that divides 87652 without a remainder.

1, 3, 9, 17, 27, 51, 153, 191, 459, 573, 1719, 3247, 5157, 9741, 29223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87652 and 87669. The biggest common factor number is the GCF number.
So the greatest common factor 87652 and 87669 is 17.

Also check out the Least Common Multiple of 87652 and 87669