What is the Greatest Common Factor of 88194 and 88202?

Greatest common factor (GCF) of 88194 and 88202 is 2.

GCF(88194,88202) = 2

We will now calculate the prime factors of 88194 and 88202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88194 and 88202.

How to find the GCF of 88194 and 88202?

We will first find the prime factorization of 88194 and 88202. After we will calculate the factors of 88194 and 88202 and find the biggest common factor number .

Step-1: Prime Factorization of 88194

Prime factors of 88194 are 2, 3, 14699. Prime factorization of 88194 in exponential form is:

88194 = 2¹ × 3¹ × 14699¹

Step-2: Prime Factorization of 88202

Prime factors of 88202 are 2, 44101. Prime factorization of 88202 in exponential form is:

88202 = 2¹ × 44101¹

Step-3: Factors of 88194

List of positive integer factors of 88194 that divides 88194 without a remainder.

1, 2, 3, 6, 14699, 29398, 44097

Step-4: Factors of 88202

List of positive integer factors of 88202 that divides 88194 without a remainder.

1, 2, 44101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88194 and 88202. The biggest common factor number is the GCF number.
So the greatest common factor 88194 and 88202 is 2.

Also check out the Least Common Multiple of 88194 and 88202