What is the Greatest Common Factor of 84030 and 84045?

Greatest common factor (GCF) of 84030 and 84045 is 15.

GCF(84030,84045) = 15

We will now calculate the prime factors of 84030 and 84045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84030 and 84045.

How to find the GCF of 84030 and 84045?

We will first find the prime factorization of 84030 and 84045. After we will calculate the factors of 84030 and 84045 and find the biggest common factor number .

Step-1: Prime Factorization of 84030

Prime factors of 84030 are 2, 3, 5, 2801. Prime factorization of 84030 in exponential form is:

84030 = 2¹ × 3¹ × 5¹ × 2801¹

Step-2: Prime Factorization of 84045

Prime factors of 84045 are 3, 5, 13, 431. Prime factorization of 84045 in exponential form is:

84045 = 3¹ × 5¹ × 13¹ × 431¹

Step-3: Factors of 84030

List of positive integer factors of 84030 that divides 84030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2801, 5602, 8403, 14005, 16806, 28010, 42015

Step-4: Factors of 84045

List of positive integer factors of 84045 that divides 84030 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 431, 1293, 2155, 5603, 6465, 16809, 28015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84030 and 84045. The biggest common factor number is the GCF number.
So the greatest common factor 84030 and 84045 is 15.

Also check out the Least Common Multiple of 84030 and 84045