What is the Greatest Common Factor of 42266 and 42280?

Greatest common factor (GCF) of 42266 and 42280 is 14.

GCF(42266,42280) = 14

We will now calculate the prime factors of 42266 and 42280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42266 and 42280.

How to find the GCF of 42266 and 42280?

We will first find the prime factorization of 42266 and 42280. After we will calculate the factors of 42266 and 42280 and find the biggest common factor number .

Step-1: Prime Factorization of 42266

Prime factors of 42266 are 2, 7, 3019. Prime factorization of 42266 in exponential form is:

42266 = 2¹ × 7¹ × 3019¹

Step-2: Prime Factorization of 42280

Prime factors of 42280 are 2, 5, 7, 151. Prime factorization of 42280 in exponential form is:

42280 = 2³ × 5¹ × 7¹ × 151¹

Step-3: Factors of 42266

List of positive integer factors of 42266 that divides 42266 without a remainder.

1, 2, 7, 14, 3019, 6038, 21133

Step-4: Factors of 42280

List of positive integer factors of 42280 that divides 42266 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 151, 280, 302, 604, 755, 1057, 1208, 1510, 2114, 3020, 4228, 5285, 6040, 8456, 10570, 21140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42266 and 42280. The biggest common factor number is the GCF number.
So the greatest common factor 42266 and 42280 is 14.

Also check out the Least Common Multiple of 42266 and 42280