What is the Greatest Common Factor of 94258 and 94262?

Greatest common factor (GCF) of 94258 and 94262 is 2.

GCF(94258,94262) = 2

We will now calculate the prime factors of 94258 and 94262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94258 and 94262.

How to find the GCF of 94258 and 94262?

We will first find the prime factorization of 94258 and 94262. After we will calculate the factors of 94258 and 94262 and find the biggest common factor number .

Step-1: Prime Factorization of 94258

Prime factors of 94258 are 2, 47129. Prime factorization of 94258 in exponential form is:

94258 = 2¹ × 47129¹

Step-2: Prime Factorization of 94262

Prime factors of 94262 are 2, 7, 6733. Prime factorization of 94262 in exponential form is:

94262 = 2¹ × 7¹ × 6733¹

Step-3: Factors of 94258

List of positive integer factors of 94258 that divides 94258 without a remainder.

1, 2, 47129

Step-4: Factors of 94262

List of positive integer factors of 94262 that divides 94258 without a remainder.

1, 2, 7, 14, 6733, 13466, 47131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94258 and 94262. The biggest common factor number is the GCF number.
So the greatest common factor 94258 and 94262 is 2.

Also check out the Least Common Multiple of 94258 and 94262