What is the Greatest Common Factor of 64782 and 64788?

Greatest common factor (GCF) of 64782 and 64788 is 6.

GCF(64782,64788) = 6

We will now calculate the prime factors of 64782 and 64788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64782 and 64788.

How to find the GCF of 64782 and 64788?

We will first find the prime factorization of 64782 and 64788. After we will calculate the factors of 64782 and 64788 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64788

Prime factors of 64788 are 2, 3, 5399. Prime factorization of 64788 in exponential form is:

64788 = 2² × 3¹ × 5399¹

Step-3: Factors of 64782

List of positive integer factors of 64782 that divides 64782 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

Step-4: Factors of 64788

List of positive integer factors of 64788 that divides 64782 without a remainder.

1, 2, 3, 4, 6, 12, 5399, 10798, 16197, 21596, 32394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64782 and 64788. The biggest common factor number is the GCF number.
So the greatest common factor 64782 and 64788 is 6.

Also check out the Least Common Multiple of 64782 and 64788