What is the Greatest Common Factor of 64824 and 64842?

Greatest common factor (GCF) of 64824 and 64842 is 6.

GCF(64824,64842) = 6

We will now calculate the prime factors of 64824 and 64842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64824 and 64842.

How to find the GCF of 64824 and 64842?

We will first find the prime factorization of 64824 and 64842. After we will calculate the factors of 64824 and 64842 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 64842

Prime factors of 64842 are 2, 3, 101, 107. Prime factorization of 64842 in exponential form is:

64842 = 2¹ × 3¹ × 101¹ × 107¹

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 64842

List of positive integer factors of 64842 that divides 64824 without a remainder.

1, 2, 3, 6, 101, 107, 202, 214, 303, 321, 606, 642, 10807, 21614, 32421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64824 and 64842. The biggest common factor number is the GCF number.
So the greatest common factor 64824 and 64842 is 6.

Also check out the Least Common Multiple of 64824 and 64842