What is the Greatest Common Factor of 42266 and 42273?

Greatest common factor (GCF) of 42266 and 42273 is 7.

GCF(42266,42273) = 7

We will now calculate the prime factors of 42266 and 42273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42266 and 42273.

How to find the GCF of 42266 and 42273?

We will first find the prime factorization of 42266 and 42273. After we will calculate the factors of 42266 and 42273 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 42273

Prime factors of 42273 are 3, 7, 11, 61. Prime factorization of 42273 in exponential form is:

42273 = 3² × 7¹ × 11¹ × 61¹

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 42273

List of positive integer factors of 42273 that divides 42266 without a remainder.

1, 3, 7, 9, 11, 21, 33, 61, 63, 77, 99, 183, 231, 427, 549, 671, 693, 1281, 2013, 3843, 4697, 6039, 14091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42266 and 42273. The biggest common factor number is the GCF number.
So the greatest common factor 42266 and 42273 is 7.

Also check out the Least Common Multiple of 42266 and 42273