What is the Greatest Common Factor of 94242 and 94252?

Greatest common factor (GCF) of 94242 and 94252 is 2.

GCF(94242,94252) = 2

We will now calculate the prime factors of 94242 and 94252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94242 and 94252.

How to find the GCF of 94242 and 94252?

We will first find the prime factorization of 94242 and 94252. After we will calculate the factors of 94242 and 94252 and find the biggest common factor number .

Step-1: Prime Factorization of 94242

Prime factors of 94242 are 2, 3, 113, 139. Prime factorization of 94242 in exponential form is:

94242 = 2¹ × 3¹ × 113¹ × 139¹

Step-2: Prime Factorization of 94252

Prime factors of 94252 are 2, 23563. Prime factorization of 94252 in exponential form is:

94252 = 2² × 23563¹

Step-3: Factors of 94242

List of positive integer factors of 94242 that divides 94242 without a remainder.

1, 2, 3, 6, 113, 139, 226, 278, 339, 417, 678, 834, 15707, 31414, 47121

Step-4: Factors of 94252

List of positive integer factors of 94252 that divides 94242 without a remainder.

1, 2, 4, 23563, 47126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94242 and 94252. The biggest common factor number is the GCF number.
So the greatest common factor 94242 and 94252 is 2.

Also check out the Least Common Multiple of 94242 and 94252