What is the Greatest Common Factor of 28198 and 28202?

Greatest common factor (GCF) of 28198 and 28202 is 2.

GCF(28198,28202) = 2

We will now calculate the prime factors of 28198 and 28202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28198 and 28202.

How to find the GCF of 28198 and 28202?

We will first find the prime factorization of 28198 and 28202. After we will calculate the factors of 28198 and 28202 and find the biggest common factor number .

Step-1: Prime Factorization of 28198

Prime factors of 28198 are 2, 23, 613. Prime factorization of 28198 in exponential form is:

28198 = 2¹ × 23¹ × 613¹

Step-2: Prime Factorization of 28202

Prime factors of 28202 are 2, 59, 239. Prime factorization of 28202 in exponential form is:

28202 = 2¹ × 59¹ × 239¹

Step-3: Factors of 28198

List of positive integer factors of 28198 that divides 28198 without a remainder.

1, 2, 23, 46, 613, 1226, 14099

Step-4: Factors of 28202

List of positive integer factors of 28202 that divides 28198 without a remainder.

1, 2, 59, 118, 239, 478, 14101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28198 and 28202. The biggest common factor number is the GCF number.
So the greatest common factor 28198 and 28202 is 2.

Also check out the Least Common Multiple of 28198 and 28202