What is the Greatest Common Factor of 48194 and 48202?

Greatest common factor (GCF) of 48194 and 48202 is 2.

GCF(48194,48202) = 2

We will now calculate the prime factors of 48194 and 48202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48194 and 48202.

How to find the GCF of 48194 and 48202?

We will first find the prime factorization of 48194 and 48202. After we will calculate the factors of 48194 and 48202 and find the biggest common factor number .

Step-1: Prime Factorization of 48194

Prime factors of 48194 are 2, 24097. Prime factorization of 48194 in exponential form is:

48194 = 2¹ × 24097¹

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 48194

List of positive integer factors of 48194 that divides 48194 without a remainder.

1, 2, 24097

Step-4: Factors of 48202

List of positive integer factors of 48202 that divides 48194 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 48194 and 48202. The biggest common factor number is the GCF number.
So the greatest common factor 48194 and 48202 is 2.

Also check out the Least Common Multiple of 48194 and 48202