What is the Greatest Common Factor of 64536 and 64540?

Greatest common factor (GCF) of 64536 and 64540 is 4.

GCF(64536,64540) = 4

We will now calculate the prime factors of 64536 and 64540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64536 and 64540.

How to find the GCF of 64536 and 64540?

We will first find the prime factorization of 64536 and 64540. After we will calculate the factors of 64536 and 64540 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 64540

Prime factors of 64540 are 2, 5, 7, 461. Prime factorization of 64540 in exponential form is:

64540 = 2² × 5¹ × 7¹ × 461¹

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 64540

List of positive integer factors of 64540 that divides 64536 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 461, 922, 1844, 2305, 3227, 4610, 6454, 9220, 12908, 16135, 32270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64536 and 64540. The biggest common factor number is the GCF number.
So the greatest common factor 64536 and 64540 is 4.

Also check out the Least Common Multiple of 64536 and 64540