What is the Greatest Common Factor of 15045 and 15054?

Greatest common factor (GCF) of 15045 and 15054 is 3.

GCF(15045,15054) = 3

We will now calculate the prime factors of 15045 and 15054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15045 and 15054.

How to find the GCF of 15045 and 15054?

We will first find the prime factorization of 15045 and 15054. After we will calculate the factors of 15045 and 15054 and find the biggest common factor number .

Step-1: Prime Factorization of 15045

Prime factors of 15045 are 3, 5, 17, 59. Prime factorization of 15045 in exponential form is:

15045 = 3¹ × 5¹ × 17¹ × 59¹

Step-2: Prime Factorization of 15054

Prime factors of 15054 are 2, 3, 13, 193. Prime factorization of 15054 in exponential form is:

15054 = 2¹ × 3¹ × 13¹ × 193¹

Step-3: Factors of 15045

List of positive integer factors of 15045 that divides 15045 without a remainder.

1, 3, 5, 15, 17, 51, 59, 85, 177, 255, 295, 885, 1003, 3009, 5015

Step-4: Factors of 15054

List of positive integer factors of 15054 that divides 15045 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 193, 386, 579, 1158, 2509, 5018, 7527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15045 and 15054. The biggest common factor number is the GCF number.
So the greatest common factor 15045 and 15054 is 3.

Also check out the Least Common Multiple of 15045 and 15054