What is the Greatest Common Factor of 48238 and 48252?

Greatest common factor (GCF) of 48238 and 48252 is 2.

GCF(48238,48252) = 2

We will now calculate the prime factors of 48238 and 48252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48238 and 48252.

How to find the GCF of 48238 and 48252?

We will first find the prime factorization of 48238 and 48252. After we will calculate the factors of 48238 and 48252 and find the biggest common factor number .

Step-1: Prime Factorization of 48238

Prime factors of 48238 are 2, 89, 271. Prime factorization of 48238 in exponential form is:

48238 = 2¹ × 89¹ × 271¹

Step-2: Prime Factorization of 48252

Prime factors of 48252 are 2, 3, 4021. Prime factorization of 48252 in exponential form is:

48252 = 2² × 3¹ × 4021¹

Step-3: Factors of 48238

List of positive integer factors of 48238 that divides 48238 without a remainder.

1, 2, 89, 178, 271, 542, 24119

Step-4: Factors of 48252

List of positive integer factors of 48252 that divides 48238 without a remainder.

1, 2, 3, 4, 6, 12, 4021, 8042, 12063, 16084, 24126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48238 and 48252. The biggest common factor number is the GCF number.
So the greatest common factor 48238 and 48252 is 2.

Also check out the Least Common Multiple of 48238 and 48252