What is the Greatest Common Factor of 64764 and 64782?

Greatest common factor (GCF) of 64764 and 64782 is 18.

GCF(64764,64782) = 18

We will now calculate the prime factors of 64764 and 64782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64764 and 64782.

How to find the GCF of 64764 and 64782?

We will first find the prime factorization of 64764 and 64782. After we will calculate the factors of 64764 and 64782 and find the biggest common factor number .

Step-1: Prime Factorization of 64764

Prime factors of 64764 are 2, 3, 7, 257. Prime factorization of 64764 in exponential form is:

64764 = 2² × 3² × 7¹ × 257¹

Step-2: Prime Factorization of 64782

Prime factors of 64782 are 2, 3, 59, 61. Prime factorization of 64782 in exponential form is:

64782 = 2¹ × 3² × 59¹ × 61¹

Step-3: Factors of 64764

List of positive integer factors of 64764 that divides 64764 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 257, 514, 771, 1028, 1542, 1799, 2313, 3084, 3598, 4626, 5397, 7196, 9252, 10794, 16191, 21588, 32382

Step-4: Factors of 64782

List of positive integer factors of 64782 that divides 64764 without a remainder.

1, 2, 3, 6, 9, 18, 59, 61, 118, 122, 177, 183, 354, 366, 531, 549, 1062, 1098, 3599, 7198, 10797, 21594, 32391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64764 and 64782. The biggest common factor number is the GCF number.
So the greatest common factor 64764 and 64782 is 18.

Also check out the Least Common Multiple of 64764 and 64782