What is the Greatest Common Factor of 42322 and 42340?

Greatest common factor (GCF) of 42322 and 42340 is 2.

GCF(42322,42340) = 2

We will now calculate the prime factors of 42322 and 42340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42322 and 42340.

How to find the GCF of 42322 and 42340?

We will first find the prime factorization of 42322 and 42340. After we will calculate the factors of 42322 and 42340 and find the biggest common factor number .

Step-1: Prime Factorization of 42322

Prime factors of 42322 are 2, 7, 3023. Prime factorization of 42322 in exponential form is:

42322 = 2¹ × 7¹ × 3023¹

Step-2: 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-3: Factors of 42322

List of positive integer factors of 42322 that divides 42322 without a remainder.

1, 2, 7, 14, 3023, 6046, 21161

Step-4: Factors of 42340

List of positive integer factors of 42340 that divides 42322 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42322 and 42340. The biggest common factor number is the GCF number.
So the greatest common factor 42322 and 42340 is 2.

Also check out the Least Common Multiple of 42322 and 42340