What is the Greatest Common Factor of 42275 and 42294?

Greatest common factor (GCF) of 42275 and 42294 is 19.

GCF(42275,42294) = 19

We will now calculate the prime factors of 42275 and 42294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42275 and 42294.

How to find the GCF of 42275 and 42294?

We will first find the prime factorization of 42275 and 42294. After we will calculate the factors of 42275 and 42294 and find the biggest common factor number .

Step-1: Prime Factorization of 42275

Prime factors of 42275 are 5, 19, 89. Prime factorization of 42275 in exponential form is:

42275 = 5² × 19¹ × 89¹

Step-2: Prime Factorization of 42294

Prime factors of 42294 are 2, 3, 7, 19, 53. Prime factorization of 42294 in exponential form is:

42294 = 2¹ × 3¹ × 7¹ × 19¹ × 53¹

Step-3: Factors of 42275

List of positive integer factors of 42275 that divides 42275 without a remainder.

1, 5, 19, 25, 89, 95, 445, 475, 1691, 2225, 8455

Step-4: Factors of 42294

List of positive integer factors of 42294 that divides 42275 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 53, 57, 106, 114, 133, 159, 266, 318, 371, 399, 742, 798, 1007, 1113, 2014, 2226, 3021, 6042, 7049, 14098, 21147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42275 and 42294. The biggest common factor number is the GCF number.
So the greatest common factor 42275 and 42294 is 19.

Also check out the Least Common Multiple of 42275 and 42294