What is the Greatest Common Factor of 64838 and 64852?

Greatest common factor (GCF) of 64838 and 64852 is 2.

GCF(64838,64852) = 2

We will now calculate the prime factors of 64838 and 64852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64838 and 64852.

How to find the GCF of 64838 and 64852?

We will first find the prime factorization of 64838 and 64852. After we will calculate the factors of 64838 and 64852 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64852

Prime factors of 64852 are 2, 31, 523. Prime factorization of 64852 in exponential form is:

64852 = 2² × 31¹ × 523¹

Step-3: Factors of 64838

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

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

Step-4: Factors of 64852

List of positive integer factors of 64852 that divides 64838 without a remainder.

1, 2, 4, 31, 62, 124, 523, 1046, 2092, 16213, 32426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64838 and 64852. The biggest common factor number is the GCF number.
So the greatest common factor 64838 and 64852 is 2.

Also check out the Least Common Multiple of 64838 and 64852