What is the Greatest Common Factor of 42340 and 42354?

Greatest common factor (GCF) of 42340 and 42354 is 2.

GCF(42340,42354) = 2

We will now calculate the prime factors of 42340 and 42354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42340 and 42354.

How to find the GCF of 42340 and 42354?

We will first find the prime factorization of 42340 and 42354. After we will calculate the factors of 42340 and 42354 and find the biggest common factor number .

Step-1: Prime Factorization of 42340

Prime factors of 42340 are 2, 5, 29, 73. Prime factorization of 42340 in exponential form is:

42340 = 2² × 5¹ × 29¹ × 73¹

Step-2: Prime Factorization of 42354

Prime factors of 42354 are 2, 3, 13, 181. Prime factorization of 42354 in exponential form is:

42354 = 2¹ × 3² × 13¹ × 181¹

Step-3: Factors of 42340

List of positive integer factors of 42340 that divides 42340 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 73, 116, 145, 146, 290, 292, 365, 580, 730, 1460, 2117, 4234, 8468, 10585, 21170

Step-4: Factors of 42354

List of positive integer factors of 42354 that divides 42340 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 181, 234, 362, 543, 1086, 1629, 2353, 3258, 4706, 7059, 14118, 21177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42340 and 42354. The biggest common factor number is the GCF number.
So the greatest common factor 42340 and 42354 is 2.

Also check out the Least Common Multiple of 42340 and 42354