What is the Greatest Common Factor of 42216 and 42235?

Greatest common factor (GCF) of 42216 and 42235 is 1.

GCF(42216,42235) = 1

We will now calculate the prime factors of 42216 and 42235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42216 and 42235.

How to find the GCF of 42216 and 42235?

We will first find the prime factorization of 42216 and 42235. After we will calculate the factors of 42216 and 42235 and find the biggest common factor number .

Step-1: Prime Factorization of 42216

Prime factors of 42216 are 2, 3, 1759. Prime factorization of 42216 in exponential form is:

42216 = 2³ × 3¹ × 1759¹

Step-2: Prime Factorization of 42235

Prime factors of 42235 are 5, 8447. Prime factorization of 42235 in exponential form is:

42235 = 5¹ × 8447¹

Step-3: Factors of 42216

List of positive integer factors of 42216 that divides 42216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1759, 3518, 5277, 7036, 10554, 14072, 21108

Step-4: Factors of 42235

List of positive integer factors of 42235 that divides 42216 without a remainder.

1, 5, 8447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42216 and 42235. The biggest common factor number is the GCF number.
So the greatest common factor 42216 and 42235 is 1.

Also check out the Least Common Multiple of 42216 and 42235