What is the Greatest Common Factor of 64824 and 64838?

Greatest common factor (GCF) of 64824 and 64838 is 2.

GCF(64824,64838) = 2

We will now calculate the prime factors of 64824 and 64838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64824 and 64838.

How to find the GCF of 64824 and 64838?

We will first find the prime factorization of 64824 and 64838. After we will calculate the factors of 64824 and 64838 and find the biggest common factor number .

Step-1: Prime Factorization of 64824

Prime factors of 64824 are 2, 3, 37, 73. Prime factorization of 64824 in exponential form is:

64824 = 2³ × 3¹ × 37¹ × 73¹

Step-2: Prime Factorization of 64838

Prime factors of 64838 are 2, 17, 1907. Prime factorization of 64838 in exponential form is:

64838 = 2¹ × 17¹ × 1907¹

Step-3: Factors of 64824

List of positive integer factors of 64824 that divides 64824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 73, 74, 111, 146, 148, 219, 222, 292, 296, 438, 444, 584, 876, 888, 1752, 2701, 5402, 8103, 10804, 16206, 21608, 32412

Step-4: Factors of 64838

List of positive integer factors of 64838 that divides 64824 without a remainder.

1, 2, 17, 34, 1907, 3814, 32419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64824 and 64838. The biggest common factor number is the GCF number.
So the greatest common factor 64824 and 64838 is 2.

Also check out the Least Common Multiple of 64824 and 64838