What is the Greatest Common Factor of 64771 and 64790?

Greatest common factor (GCF) of 64771 and 64790 is 19.

GCF(64771,64790) = 19

We will now calculate the prime factors of 64771 and 64790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64771 and 64790.

How to find the GCF of 64771 and 64790?

We will first find the prime factorization of 64771 and 64790. After we will calculate the factors of 64771 and 64790 and find the biggest common factor number .

Step-1: Prime Factorization of 64771

Prime factors of 64771 are 7, 19, 487. Prime factorization of 64771 in exponential form is:

64771 = 7¹ × 19¹ × 487¹

Step-2: Prime Factorization of 64790

Prime factors of 64790 are 2, 5, 11, 19, 31. Prime factorization of 64790 in exponential form is:

64790 = 2¹ × 5¹ × 11¹ × 19¹ × 31¹

Step-3: Factors of 64771

List of positive integer factors of 64771 that divides 64771 without a remainder.

1, 7, 19, 133, 487, 3409, 9253

Step-4: Factors of 64790

List of positive integer factors of 64790 that divides 64771 without a remainder.

1, 2, 5, 10, 11, 19, 22, 31, 38, 55, 62, 95, 110, 155, 190, 209, 310, 341, 418, 589, 682, 1045, 1178, 1705, 2090, 2945, 3410, 5890, 6479, 12958, 32395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64771 and 64790. The biggest common factor number is the GCF number.
So the greatest common factor 64771 and 64790 is 19.

Also check out the Least Common Multiple of 64771 and 64790