What is the Greatest Common Factor of 54605 and 54625?

Greatest common factor (GCF) of 54605 and 54625 is 5.

GCF(54605,54625) = 5

We will now calculate the prime factors of 54605 and 54625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54605 and 54625.

How to find the GCF of 54605 and 54625?

We will first find the prime factorization of 54605 and 54625. After we will calculate the factors of 54605 and 54625 and find the biggest common factor number .

Step-1: Prime Factorization of 54605

Prime factors of 54605 are 5, 67, 163. Prime factorization of 54605 in exponential form is:

54605 = 5¹ × 67¹ × 163¹

Step-2: Prime Factorization of 54625

Prime factors of 54625 are 5, 19, 23. Prime factorization of 54625 in exponential form is:

54625 = 5³ × 19¹ × 23¹

Step-3: Factors of 54605

List of positive integer factors of 54605 that divides 54605 without a remainder.

1, 5, 67, 163, 335, 815, 10921

Step-4: Factors of 54625

List of positive integer factors of 54625 that divides 54605 without a remainder.

1, 5, 19, 23, 25, 95, 115, 125, 437, 475, 575, 2185, 2375, 2875, 10925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54605 and 54625. The biggest common factor number is the GCF number.
So the greatest common factor 54605 and 54625 is 5.

Also check out the Least Common Multiple of 54605 and 54625