What is the Greatest Common Factor of 42045 and 42060?

Greatest common factor (GCF) of 42045 and 42060 is 15.

GCF(42045,42060) = 15

We will now calculate the prime factors of 42045 and 42060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42045 and 42060.

How to find the GCF of 42045 and 42060?

We will first find the prime factorization of 42045 and 42060. After we will calculate the factors of 42045 and 42060 and find the biggest common factor number .

Step-1: Prime Factorization of 42045

Prime factors of 42045 are 3, 5, 2803. Prime factorization of 42045 in exponential form is:

42045 = 3¹ × 5¹ × 2803¹

Step-2: Prime Factorization of 42060

Prime factors of 42060 are 2, 3, 5, 701. Prime factorization of 42060 in exponential form is:

42060 = 2² × 3¹ × 5¹ × 701¹

Step-3: Factors of 42045

List of positive integer factors of 42045 that divides 42045 without a remainder.

1, 3, 5, 15, 2803, 8409, 14015

Step-4: Factors of 42060

List of positive integer factors of 42060 that divides 42045 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 701, 1402, 2103, 2804, 3505, 4206, 7010, 8412, 10515, 14020, 21030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42045 and 42060. The biggest common factor number is the GCF number.
So the greatest common factor 42045 and 42060 is 15.

Also check out the Least Common Multiple of 42045 and 42060