What is the Greatest Common Factor of 79189 and 79202?

Greatest common factor (GCF) of 79189 and 79202 is 1.

GCF(79189,79202) = 1

We will now calculate the prime factors of 79189 and 79202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79189 and 79202.

How to find the GCF of 79189 and 79202?

We will first find the prime factorization of 79189 and 79202. After we will calculate the factors of 79189 and 79202 and find the biggest common factor number .

Step-1: Prime Factorization of 79189

Prime factors of 79189 are 11, 23, 313. Prime factorization of 79189 in exponential form is:

79189 = 11¹ × 23¹ × 313¹

Step-2: Prime Factorization of 79202

Prime factors of 79202 are 2, 199. Prime factorization of 79202 in exponential form is:

79202 = 2¹ × 199²

Step-3: Factors of 79189

List of positive integer factors of 79189 that divides 79189 without a remainder.

1, 11, 23, 253, 313, 3443, 7199

Step-4: Factors of 79202

List of positive integer factors of 79202 that divides 79189 without a remainder.

1, 2, 199, 398, 39601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79189 and 79202. The biggest common factor number is the GCF number.
So the greatest common factor 79189 and 79202 is 1.

Also check out the Least Common Multiple of 79189 and 79202