What is the Greatest Common Factor of 32710 and 32725?

Greatest common factor (GCF) of 32710 and 32725 is 5.

GCF(32710,32725) = 5

We will now calculate the prime factors of 32710 and 32725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32710 and 32725.

How to find the GCF of 32710 and 32725?

We will first find the prime factorization of 32710 and 32725. After we will calculate the factors of 32710 and 32725 and find the biggest common factor number .

Step-1: Prime Factorization of 32710

Prime factors of 32710 are 2, 5, 3271. Prime factorization of 32710 in exponential form is:

32710 = 2¹ × 5¹ × 3271¹

Step-2: Prime Factorization of 32725

Prime factors of 32725 are 5, 7, 11, 17. Prime factorization of 32725 in exponential form is:

32725 = 5² × 7¹ × 11¹ × 17¹

Step-3: Factors of 32710

List of positive integer factors of 32710 that divides 32710 without a remainder.

1, 2, 5, 10, 3271, 6542, 16355

Step-4: Factors of 32725

List of positive integer factors of 32725 that divides 32710 without a remainder.

1, 5, 7, 11, 17, 25, 35, 55, 77, 85, 119, 175, 187, 275, 385, 425, 595, 935, 1309, 1925, 2975, 4675, 6545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32710 and 32725. The biggest common factor number is the GCF number.
So the greatest common factor 32710 and 32725 is 5.

Also check out the Least Common Multiple of 32710 and 32725