What is the Greatest Common Factor of 27030 and 27050?

Greatest common factor (GCF) of 27030 and 27050 is 10.

GCF(27030,27050) = 10

We will now calculate the prime factors of 27030 and 27050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27030 and 27050.

How to find the GCF of 27030 and 27050?

We will first find the prime factorization of 27030 and 27050. After we will calculate the factors of 27030 and 27050 and find the biggest common factor number .

Step-1: Prime Factorization of 27030

Prime factors of 27030 are 2, 3, 5, 17, 53. Prime factorization of 27030 in exponential form is:

27030 = 2¹ × 3¹ × 5¹ × 17¹ × 53¹

Step-2: Prime Factorization of 27050

Prime factors of 27050 are 2, 5, 541. Prime factorization of 27050 in exponential form is:

27050 = 2¹ × 5² × 541¹

Step-3: Factors of 27030

List of positive integer factors of 27030 that divides 27030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 53, 85, 102, 106, 159, 170, 255, 265, 318, 510, 530, 795, 901, 1590, 1802, 2703, 4505, 5406, 9010, 13515

Step-4: Factors of 27050

List of positive integer factors of 27050 that divides 27030 without a remainder.

1, 2, 5, 10, 25, 50, 541, 1082, 2705, 5410, 13525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27030 and 27050. The biggest common factor number is the GCF number.
So the greatest common factor 27030 and 27050 is 10.

Also check out the Least Common Multiple of 27030 and 27050