What is the Greatest Common Factor of 27625 and 27645?

Greatest common factor (GCF) of 27625 and 27645 is 5.

GCF(27625,27645) = 5

We will now calculate the prime factors of 27625 and 27645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27625 and 27645.

How to find the GCF of 27625 and 27645?

We will first find the prime factorization of 27625 and 27645. After we will calculate the factors of 27625 and 27645 and find the biggest common factor number .

Step-1: Prime Factorization of 27625

Prime factors of 27625 are 5, 13, 17. Prime factorization of 27625 in exponential form is:

27625 = 5³ × 13¹ × 17¹

Step-2: Prime Factorization of 27645

Prime factors of 27645 are 3, 5, 19, 97. Prime factorization of 27645 in exponential form is:

27645 = 3¹ × 5¹ × 19¹ × 97¹

Step-3: Factors of 27625

List of positive integer factors of 27625 that divides 27625 without a remainder.

1, 5, 13, 17, 25, 65, 85, 125, 221, 325, 425, 1105, 1625, 2125, 5525

Step-4: Factors of 27645

List of positive integer factors of 27645 that divides 27625 without a remainder.

1, 3, 5, 15, 19, 57, 95, 97, 285, 291, 485, 1455, 1843, 5529, 9215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27625 and 27645. The biggest common factor number is the GCF number.
So the greatest common factor 27625 and 27645 is 5.

Also check out the Least Common Multiple of 27625 and 27645