What is the Greatest Common Factor of 64764 and 64774?

Greatest common factor (GCF) of 64764 and 64774 is 2.

GCF(64764,64774) = 2

We will now calculate the prime factors of 64764 and 64774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64764 and 64774.

How to find the GCF of 64764 and 64774?

We will first find the prime factorization of 64764 and 64774. After we will calculate the factors of 64764 and 64774 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 64774

Prime factors of 64774 are 2, 139, 233. Prime factorization of 64774 in exponential form is:

64774 = 2¹ × 139¹ × 233¹

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 64774

List of positive integer factors of 64774 that divides 64764 without a remainder.

1, 2, 139, 233, 278, 466, 32387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64764 and 64774. The biggest common factor number is the GCF number.
So the greatest common factor 64764 and 64774 is 2.

Also check out the Least Common Multiple of 64764 and 64774