What is the Greatest Common Factor of 62234 and 62242?

Greatest common factor (GCF) of 62234 and 62242 is 2.

GCF(62234,62242) = 2

We will now calculate the prime factors of 62234 and 62242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62234 and 62242.

How to find the GCF of 62234 and 62242?

We will first find the prime factorization of 62234 and 62242. After we will calculate the factors of 62234 and 62242 and find the biggest common factor number .

Step-1: Prime Factorization of 62234

Prime factors of 62234 are 2, 29, 37. Prime factorization of 62234 in exponential form is:

62234 = 2¹ × 29² × 37¹

Step-2: Prime Factorization of 62242

Prime factors of 62242 are 2, 31121. Prime factorization of 62242 in exponential form is:

62242 = 2¹ × 31121¹

Step-3: Factors of 62234

List of positive integer factors of 62234 that divides 62234 without a remainder.

1, 2, 29, 37, 58, 74, 841, 1073, 1682, 2146, 31117

Step-4: Factors of 62242

List of positive integer factors of 62242 that divides 62234 without a remainder.

1, 2, 31121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62234 and 62242. The biggest common factor number is the GCF number.
So the greatest common factor 62234 and 62242 is 2.

Also check out the Least Common Multiple of 62234 and 62242