What is the Greatest Common Factor of 46238 and 46252?

Greatest common factor (GCF) of 46238 and 46252 is 2.

GCF(46238,46252) = 2

We will now calculate the prime factors of 46238 and 46252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46238 and 46252.

How to find the GCF of 46238 and 46252?

We will first find the prime factorization of 46238 and 46252. After we will calculate the factors of 46238 and 46252 and find the biggest common factor number .

Step-1: Prime Factorization of 46238

Prime factors of 46238 are 2, 61, 379. Prime factorization of 46238 in exponential form is:

46238 = 2¹ × 61¹ × 379¹

Step-2: Prime Factorization of 46252

Prime factors of 46252 are 2, 31, 373. Prime factorization of 46252 in exponential form is:

46252 = 2² × 31¹ × 373¹

Step-3: Factors of 46238

List of positive integer factors of 46238 that divides 46238 without a remainder.

1, 2, 61, 122, 379, 758, 23119

Step-4: Factors of 46252

List of positive integer factors of 46252 that divides 46238 without a remainder.

1, 2, 4, 31, 62, 124, 373, 746, 1492, 11563, 23126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46238 and 46252. The biggest common factor number is the GCF number.
So the greatest common factor 46238 and 46252 is 2.

Also check out the Least Common Multiple of 46238 and 46252