What is the Greatest Common Factor of 65740 and 65759?

Greatest common factor (GCF) of 65740 and 65759 is 19.

GCF(65740,65759) = 19

We will now calculate the prime factors of 65740 and 65759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65740 and 65759.

How to find the GCF of 65740 and 65759?

We will first find the prime factorization of 65740 and 65759. After we will calculate the factors of 65740 and 65759 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65759

Prime factors of 65759 are 19, 3461. Prime factorization of 65759 in exponential form is:

65759 = 19¹ × 3461¹

Step-3: Factors of 65740

List of positive integer factors of 65740 that divides 65740 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

Step-4: Factors of 65759

List of positive integer factors of 65759 that divides 65740 without a remainder.

1, 19, 3461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65740 and 65759. The biggest common factor number is the GCF number.
So the greatest common factor 65740 and 65759 is 19.

Also check out the Least Common Multiple of 65740 and 65759