What is the Greatest Common Factor of 42294 and 42313?

Greatest common factor (GCF) of 42294 and 42313 is 19.

GCF(42294,42313) = 19

We will now calculate the prime factors of 42294 and 42313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42294 and 42313.

How to find the GCF of 42294 and 42313?

We will first find the prime factorization of 42294 and 42313. After we will calculate the factors of 42294 and 42313 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42313

Prime factors of 42313 are 17, 19, 131. Prime factorization of 42313 in exponential form is:

42313 = 17¹ × 19¹ × 131¹

Step-3: Factors of 42294

List of positive integer factors of 42294 that divides 42294 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

Step-4: Factors of 42313

List of positive integer factors of 42313 that divides 42294 without a remainder.

1, 17, 19, 131, 323, 2227, 2489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42294 and 42313. The biggest common factor number is the GCF number.
So the greatest common factor 42294 and 42313 is 19.

Also check out the Least Common Multiple of 42294 and 42313