What is the Greatest Common Factor of 65725 and 65740?

Greatest common factor (GCF) of 65725 and 65740 is 5.

GCF(65725,65740) = 5

We will now calculate the prime factors of 65725 and 65740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65725 and 65740.

How to find the GCF of 65725 and 65740?

We will first find the prime factorization of 65725 and 65740. After we will calculate the factors of 65725 and 65740 and find the biggest common factor number .

Step-1: Prime Factorization of 65725

Prime factors of 65725 are 5, 11, 239. Prime factorization of 65725 in exponential form is:

65725 = 5² × 11¹ × 239¹

Step-2: Prime Factorization of 65740

Prime factors of 65740 are 2, 5, 19, 173. Prime factorization of 65740 in exponential form is:

65740 = 2² × 5¹ × 19¹ × 173¹

Step-3: Factors of 65725

List of positive integer factors of 65725 that divides 65725 without a remainder.

1, 5, 11, 25, 55, 239, 275, 1195, 2629, 5975, 13145

Step-4: Factors of 65740

List of positive integer factors of 65740 that divides 65725 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 173, 190, 346, 380, 692, 865, 1730, 3287, 3460, 6574, 13148, 16435, 32870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65725 and 65740. The biggest common factor number is the GCF number.
So the greatest common factor 65725 and 65740 is 5.

Also check out the Least Common Multiple of 65725 and 65740