What is the Greatest Common Factor of 64729 and 64740?

Greatest common factor (GCF) of 64729 and 64740 is 1.

GCF(64729,64740) = 1

We will now calculate the prime factors of 64729 and 64740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64729 and 64740.

How to find the GCF of 64729 and 64740?

We will first find the prime factorization of 64729 and 64740. After we will calculate the factors of 64729 and 64740 and find the biggest common factor number .

Step-1: Prime Factorization of 64729

Prime factors of 64729 are 7, 1321. Prime factorization of 64729 in exponential form is:

64729 = 7² × 1321¹

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 64729

List of positive integer factors of 64729 that divides 64729 without a remainder.

1, 7, 49, 1321, 9247

Step-4: Factors of 64740

List of positive integer factors of 64740 that divides 64729 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 64729 and 64740. The biggest common factor number is the GCF number.
So the greatest common factor 64729 and 64740 is 1.

Also check out the Least Common Multiple of 64729 and 64740