What is the Greatest Common Factor of 64536 and 64543?

Greatest common factor (GCF) of 64536 and 64543 is 1.

GCF(64536,64543) = 1

We will now calculate the prime factors of 64536 and 64543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64536 and 64543.

How to find the GCF of 64536 and 64543?

We will first find the prime factorization of 64536 and 64543. After we will calculate the factors of 64536 and 64543 and find the biggest common factor number .

Step-1: Prime Factorization of 64536

Prime factors of 64536 are 2, 3, 2689. Prime factorization of 64536 in exponential form is:

64536 = 2³ × 3¹ × 2689¹

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 64536

List of positive integer factors of 64536 that divides 64536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2689, 5378, 8067, 10756, 16134, 21512, 32268

Step-4: Factors of 64543

List of positive integer factors of 64543 that divides 64536 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64536 and 64543. The biggest common factor number is the GCF number.
So the greatest common factor 64536 and 64543 is 1.

Also check out the Least Common Multiple of 64536 and 64543