What is the Greatest Common Factor of 42435 and 42450?

Greatest common factor (GCF) of 42435 and 42450 is 15.

GCF(42435,42450) = 15

We will now calculate the prime factors of 42435 and 42450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42435 and 42450.

How to find the GCF of 42435 and 42450?

We will first find the prime factorization of 42435 and 42450. After we will calculate the factors of 42435 and 42450 and find the biggest common factor number .

Step-1: Prime Factorization of 42435

Prime factors of 42435 are 3, 5, 23, 41. Prime factorization of 42435 in exponential form is:

42435 = 3² × 5¹ × 23¹ × 41¹

Step-2: Prime Factorization of 42450

Prime factors of 42450 are 2, 3, 5, 283. Prime factorization of 42450 in exponential form is:

42450 = 2¹ × 3¹ × 5² × 283¹

Step-3: Factors of 42435

List of positive integer factors of 42435 that divides 42435 without a remainder.

1, 3, 5, 9, 15, 23, 41, 45, 69, 115, 123, 205, 207, 345, 369, 615, 943, 1035, 1845, 2829, 4715, 8487, 14145

Step-4: Factors of 42450

List of positive integer factors of 42450 that divides 42435 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 283, 566, 849, 1415, 1698, 2830, 4245, 7075, 8490, 14150, 21225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42435 and 42450. The biggest common factor number is the GCF number.
So the greatest common factor 42435 and 42450 is 15.

Also check out the Least Common Multiple of 42435 and 42450