What is the Greatest Common Factor of 89198 and 89202?

Greatest common factor (GCF) of 89198 and 89202 is 2.

GCF(89198,89202) = 2

We will now calculate the prime factors of 89198 and 89202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89198 and 89202.

How to find the GCF of 89198 and 89202?

We will first find the prime factorization of 89198 and 89202. After we will calculate the factors of 89198 and 89202 and find the biggest common factor number .

Step-1: Prime Factorization of 89198

Prime factors of 89198 are 2, 103, 433. Prime factorization of 89198 in exponential form is:

89198 = 2¹ × 103¹ × 433¹

Step-2: Prime Factorization of 89202

Prime factors of 89202 are 2, 3, 14867. Prime factorization of 89202 in exponential form is:

89202 = 2¹ × 3¹ × 14867¹

Step-3: Factors of 89198

List of positive integer factors of 89198 that divides 89198 without a remainder.

1, 2, 103, 206, 433, 866, 44599

Step-4: Factors of 89202

List of positive integer factors of 89202 that divides 89198 without a remainder.

1, 2, 3, 6, 14867, 29734, 44601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89198 and 89202. The biggest common factor number is the GCF number.
So the greatest common factor 89198 and 89202 is 2.

Also check out the Least Common Multiple of 89198 and 89202