What is the Greatest Common Factor of 54925 and 54945?

Greatest common factor (GCF) of 54925 and 54945 is 5.

GCF(54925,54945) = 5

We will now calculate the prime factors of 54925 and 54945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54925 and 54945.

How to find the GCF of 54925 and 54945?

We will first find the prime factorization of 54925 and 54945. After we will calculate the factors of 54925 and 54945 and find the biggest common factor number .

Step-1: Prime Factorization of 54925

Prime factors of 54925 are 5, 13. Prime factorization of 54925 in exponential form is:

54925 = 5² × 13³

Step-2: Prime Factorization of 54945

Prime factors of 54945 are 3, 5, 11, 37. Prime factorization of 54945 in exponential form is:

54945 = 3³ × 5¹ × 11¹ × 37¹

Step-3: Factors of 54925

List of positive integer factors of 54925 that divides 54925 without a remainder.

1, 5, 13, 25, 65, 169, 325, 845, 2197, 4225, 10985

Step-4: Factors of 54945

List of positive integer factors of 54945 that divides 54925 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 37, 45, 55, 99, 111, 135, 165, 185, 297, 333, 407, 495, 555, 999, 1221, 1485, 1665, 2035, 3663, 4995, 6105, 10989, 18315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54925 and 54945. The biggest common factor number is the GCF number.
So the greatest common factor 54925 and 54945 is 5.

Also check out the Least Common Multiple of 54925 and 54945