What is the Greatest Common Factor of 64740 and 64755?

Greatest common factor (GCF) of 64740 and 64755 is 15.

GCF(64740,64755) = 15

We will now calculate the prime factors of 64740 and 64755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64740 and 64755.

How to find the GCF of 64740 and 64755?

We will first find the prime factorization of 64740 and 64755. After we will calculate the factors of 64740 and 64755 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64755

Prime factors of 64755 are 3, 5, 1439. Prime factorization of 64755 in exponential form is:

64755 = 3² × 5¹ × 1439¹

Step-3: Factors of 64740

List of positive integer factors of 64740 that divides 64740 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

Step-4: Factors of 64755

List of positive integer factors of 64755 that divides 64740 without a remainder.

1, 3, 5, 9, 15, 45, 1439, 4317, 7195, 12951, 21585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64740 and 64755. The biggest common factor number is the GCF number.
So the greatest common factor 64740 and 64755 is 15.

Also check out the Least Common Multiple of 64740 and 64755