What is the Greatest Common Factor of 36184 and 36202?

Greatest common factor (GCF) of 36184 and 36202 is 2.

GCF(36184,36202) = 2

We will now calculate the prime factors of 36184 and 36202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36184 and 36202.

How to find the GCF of 36184 and 36202?

We will first find the prime factorization of 36184 and 36202. After we will calculate the factors of 36184 and 36202 and find the biggest common factor number .

Step-1: Prime Factorization of 36184

Prime factors of 36184 are 2, 4523. Prime factorization of 36184 in exponential form is:

36184 = 2³ × 4523¹

Step-2: Prime Factorization of 36202

Prime factors of 36202 are 2, 23, 787. Prime factorization of 36202 in exponential form is:

36202 = 2¹ × 23¹ × 787¹

Step-3: Factors of 36184

List of positive integer factors of 36184 that divides 36184 without a remainder.

1, 2, 4, 8, 4523, 9046, 18092

Step-4: Factors of 36202

List of positive integer factors of 36202 that divides 36184 without a remainder.

1, 2, 23, 46, 787, 1574, 18101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36184 and 36202. The biggest common factor number is the GCF number.
So the greatest common factor 36184 and 36202 is 2.

Also check out the Least Common Multiple of 36184 and 36202