What is the Greatest Common Factor of 32662 and 32669?

Greatest common factor (GCF) of 32662 and 32669 is 7.

GCF(32662,32669) = 7

We will now calculate the prime factors of 32662 and 32669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32662 and 32669.

How to find the GCF of 32662 and 32669?

We will first find the prime factorization of 32662 and 32669. After we will calculate the factors of 32662 and 32669 and find the biggest common factor number .

Step-1: Prime Factorization of 32662

Prime factors of 32662 are 2, 7, 2333. Prime factorization of 32662 in exponential form is:

32662 = 2¹ × 7¹ × 2333¹

Step-2: Prime Factorization of 32669

Prime factors of 32669 are 7, 13, 359. Prime factorization of 32669 in exponential form is:

32669 = 7¹ × 13¹ × 359¹

Step-3: Factors of 32662

List of positive integer factors of 32662 that divides 32662 without a remainder.

1, 2, 7, 14, 2333, 4666, 16331

Step-4: Factors of 32669

List of positive integer factors of 32669 that divides 32662 without a remainder.

1, 7, 13, 91, 359, 2513, 4667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32662 and 32669. The biggest common factor number is the GCF number.
So the greatest common factor 32662 and 32669 is 7.

Also check out the Least Common Multiple of 32662 and 32669