What is the Greatest Common Factor of 48182 and 48202?

Greatest common factor (GCF) of 48182 and 48202 is 2.

GCF(48182,48202) = 2

We will now calculate the prime factors of 48182 and 48202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48182 and 48202.

How to find the GCF of 48182 and 48202?

We will first find the prime factorization of 48182 and 48202. After we will calculate the factors of 48182 and 48202 and find the biggest common factor number .

Step-1: Prime Factorization of 48182

Prime factors of 48182 are 2, 24091. Prime factorization of 48182 in exponential form is:

48182 = 2¹ × 24091¹

Step-2: Prime Factorization of 48202

Prime factors of 48202 are 2, 7, 11, 313. Prime factorization of 48202 in exponential form is:

48202 = 2¹ × 7¹ × 11¹ × 313¹

Step-3: Factors of 48182

List of positive integer factors of 48182 that divides 48182 without a remainder.

1, 2, 24091

Step-4: Factors of 48202

List of positive integer factors of 48202 that divides 48182 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 313, 626, 2191, 3443, 4382, 6886, 24101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48182 and 48202. The biggest common factor number is the GCF number.
So the greatest common factor 48182 and 48202 is 2.

Also check out the Least Common Multiple of 48182 and 48202