What is the Greatest Common Factor of 64538 and 64543?

Greatest common factor (GCF) of 64538 and 64543 is 1.

GCF(64538,64543) = 1

We will now calculate the prime factors of 64538 and 64543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64538 and 64543.

How to find the GCF of 64538 and 64543?

We will first find the prime factorization of 64538 and 64543. After we will calculate the factors of 64538 and 64543 and find the biggest common factor number .

Step-1: Prime Factorization of 64538

Prime factors of 64538 are 2, 23, 61. Prime factorization of 64538 in exponential form is:

64538 = 2¹ × 23² × 61¹

Step-2: Prime Factorization of 64543

Prime factors of 64543 are 19, 43, 79. Prime factorization of 64543 in exponential form is:

64543 = 19¹ × 43¹ × 79¹

Step-3: Factors of 64538

List of positive integer factors of 64538 that divides 64538 without a remainder.

1, 2, 23, 46, 61, 122, 529, 1058, 1403, 2806, 32269

Step-4: Factors of 64543

List of positive integer factors of 64543 that divides 64538 without a remainder.

1, 19, 43, 79, 817, 1501, 3397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64538 and 64543. The biggest common factor number is the GCF number.
So the greatest common factor 64538 and 64543 is 1.

Also check out the Least Common Multiple of 64538 and 64543