What is the Greatest Common Factor of 54606 and 54625?

Greatest common factor (GCF) of 54606 and 54625 is 19.

GCF(54606,54625) = 19

We will now calculate the prime factors of 54606 and 54625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54606 and 54625.

How to find the GCF of 54606 and 54625?

We will first find the prime factorization of 54606 and 54625. After we will calculate the factors of 54606 and 54625 and find the biggest common factor number .

Step-1: Prime Factorization of 54606

Prime factors of 54606 are 2, 3, 19, 479. Prime factorization of 54606 in exponential form is:

54606 = 2¹ × 3¹ × 19¹ × 479¹

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 54606

List of positive integer factors of 54606 that divides 54606 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 479, 958, 1437, 2874, 9101, 18202, 27303

Step-4: Factors of 54625

List of positive integer factors of 54625 that divides 54606 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 54606 and 54625. The biggest common factor number is the GCF number.
So the greatest common factor 54606 and 54625 is 19.

Also check out the Least Common Multiple of 54606 and 54625