What is the Greatest Common Factor of 32714 and 32725?

Greatest common factor (GCF) of 32714 and 32725 is 11.

GCF(32714,32725) = 11

We will now calculate the prime factors of 32714 and 32725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32714 and 32725.

How to find the GCF of 32714 and 32725?

We will first find the prime factorization of 32714 and 32725. After we will calculate the factors of 32714 and 32725 and find the biggest common factor number .

Step-1: Prime Factorization of 32714

Prime factors of 32714 are 2, 11, 1487. Prime factorization of 32714 in exponential form is:

32714 = 2¹ × 11¹ × 1487¹

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 32714

List of positive integer factors of 32714 that divides 32714 without a remainder.

1, 2, 11, 22, 1487, 2974, 16357

Step-4: Factors of 32725

List of positive integer factors of 32725 that divides 32714 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 32714 and 32725. The biggest common factor number is the GCF number.
So the greatest common factor 32714 and 32725 is 11.

Also check out the Least Common Multiple of 32714 and 32725