What is the Greatest Common Factor of 64727 and 64740?

Greatest common factor (GCF) of 64727 and 64740 is 13.

GCF(64727,64740) = 13

We will now calculate the prime factors of 64727 and 64740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64727 and 64740.

How to find the GCF of 64727 and 64740?

We will first find the prime factorization of 64727 and 64740. After we will calculate the factors of 64727 and 64740 and find the biggest common factor number .

Step-1: Prime Factorization of 64727

Prime factors of 64727 are 13, 383. Prime factorization of 64727 in exponential form is:

64727 = 13² × 383¹

Step-2: Prime Factorization of 64740

Prime factors of 64740 are 2, 3, 5, 13, 83. Prime factorization of 64740 in exponential form is:

64740 = 2² × 3¹ × 5¹ × 13¹ × 83¹

Step-3: Factors of 64727

List of positive integer factors of 64727 that divides 64727 without a remainder.

1, 13, 169, 383, 4979

Step-4: Factors of 64740

List of positive integer factors of 64740 that divides 64727 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 83, 130, 156, 166, 195, 249, 260, 332, 390, 415, 498, 780, 830, 996, 1079, 1245, 1660, 2158, 2490, 3237, 4316, 4980, 5395, 6474, 10790, 12948, 16185, 21580, 32370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64727 and 64740. The biggest common factor number is the GCF number.
So the greatest common factor 64727 and 64740 is 13.

Also check out the Least Common Multiple of 64727 and 64740