What is the Greatest Common Factor of 54481 and 54488?

Greatest common factor (GCF) of 54481 and 54488 is 7.

GCF(54481,54488) = 7

We will now calculate the prime factors of 54481 and 54488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54481 and 54488.

How to find the GCF of 54481 and 54488?

We will first find the prime factorization of 54481 and 54488. After we will calculate the factors of 54481 and 54488 and find the biggest common factor number .

Step-1: Prime Factorization of 54481

Prime factors of 54481 are 7, 43, 181. Prime factorization of 54481 in exponential form is:

54481 = 7¹ × 43¹ × 181¹

Step-2: Prime Factorization of 54488

Prime factors of 54488 are 2, 7, 139. Prime factorization of 54488 in exponential form is:

54488 = 2³ × 7² × 139¹

Step-3: Factors of 54481

List of positive integer factors of 54481 that divides 54481 without a remainder.

1, 7, 43, 181, 301, 1267, 7783

Step-4: Factors of 54488

List of positive integer factors of 54488 that divides 54481 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 139, 196, 278, 392, 556, 973, 1112, 1946, 3892, 6811, 7784, 13622, 27244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54481 and 54488. The biggest common factor number is the GCF number.
So the greatest common factor 54481 and 54488 is 7.

Also check out the Least Common Multiple of 54481 and 54488