What is the Greatest Common Factor of 42420 and 42435?

Greatest common factor (GCF) of 42420 and 42435 is 15.

GCF(42420,42435) = 15

We will now calculate the prime factors of 42420 and 42435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42420 and 42435.

How to find the GCF of 42420 and 42435?

We will first find the prime factorization of 42420 and 42435. After we will calculate the factors of 42420 and 42435 and find the biggest common factor number .

Step-1: Prime Factorization of 42420

Prime factors of 42420 are 2, 3, 5, 7, 101. Prime factorization of 42420 in exponential form is:

42420 = 2² × 3¹ × 5¹ × 7¹ × 101¹

Step-2: 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-3: Factors of 42420

List of positive integer factors of 42420 that divides 42420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 101, 105, 140, 202, 210, 303, 404, 420, 505, 606, 707, 1010, 1212, 1414, 1515, 2020, 2121, 2828, 3030, 3535, 4242, 6060, 7070, 8484, 10605, 14140, 21210

Step-4: Factors of 42435

List of positive integer factors of 42435 that divides 42420 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42420 and 42435. The biggest common factor number is the GCF number.
So the greatest common factor 42420 and 42435 is 15.

Also check out the Least Common Multiple of 42420 and 42435