What is the Greatest Common Factor of 54640 and 54644?

Greatest common factor (GCF) of 54640 and 54644 is 4.

GCF(54640,54644) = 4

We will now calculate the prime factors of 54640 and 54644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54640 and 54644.

How to find the GCF of 54640 and 54644?

We will first find the prime factorization of 54640 and 54644. After we will calculate the factors of 54640 and 54644 and find the biggest common factor number .

Step-1: Prime Factorization of 54640

Prime factors of 54640 are 2, 5, 683. Prime factorization of 54640 in exponential form is:

54640 = 2⁴ × 5¹ × 683¹

Step-2: Prime Factorization of 54644

Prime factors of 54644 are 2, 19, 719. Prime factorization of 54644 in exponential form is:

54644 = 2² × 19¹ × 719¹

Step-3: Factors of 54640

List of positive integer factors of 54640 that divides 54640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 683, 1366, 2732, 3415, 5464, 6830, 10928, 13660, 27320

Step-4: Factors of 54644

List of positive integer factors of 54644 that divides 54640 without a remainder.

1, 2, 4, 19, 38, 76, 719, 1438, 2876, 13661, 27322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54640 and 54644. The biggest common factor number is the GCF number.
So the greatest common factor 54640 and 54644 is 4.

Also check out the Least Common Multiple of 54640 and 54644