What is the Greatest Common Factor of 48220 and 48238?

Greatest common factor (GCF) of 48220 and 48238 is 2.

GCF(48220,48238) = 2

We will now calculate the prime factors of 48220 and 48238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48220 and 48238.

How to find the GCF of 48220 and 48238?

We will first find the prime factorization of 48220 and 48238. After we will calculate the factors of 48220 and 48238 and find the biggest common factor number .

Step-1: Prime Factorization of 48220

Prime factors of 48220 are 2, 5, 2411. Prime factorization of 48220 in exponential form is:

48220 = 2² × 5¹ × 2411¹

Step-2: 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-3: Factors of 48220

List of positive integer factors of 48220 that divides 48220 without a remainder.

1, 2, 4, 5, 10, 20, 2411, 4822, 9644, 12055, 24110

Step-4: Factors of 48238

List of positive integer factors of 48238 that divides 48220 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48220 and 48238. The biggest common factor number is the GCF number.
So the greatest common factor 48220 and 48238 is 2.

Also check out the Least Common Multiple of 48220 and 48238