What is the Greatest Common Factor of 1184 and 1202?

Greatest common factor (GCF) of 1184 and 1202 is 2.

GCF(1184,1202) = 2

We will now calculate the prime factors of 1184 and 1202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1184 and 1202.

How to find the GCF of 1184 and 1202?

We will first find the prime factorization of 1184 and 1202. After we will calculate the factors of 1184 and 1202 and find the biggest common factor number .

Step-1: Prime Factorization of 1184

Prime factors of 1184 are 2, 37. Prime factorization of 1184 in exponential form is:

1184 = 2⁵ × 37¹

Step-2: Prime Factorization of 1202

Prime factors of 1202 are 2, 601. Prime factorization of 1202 in exponential form is:

1202 = 2¹ × 601¹

Step-3: Factors of 1184

List of positive integer factors of 1184 that divides 1184 without a remainder.

1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592

Step-4: Factors of 1202

List of positive integer factors of 1202 that divides 1184 without a remainder.

1, 2, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1184 and 1202. The biggest common factor number is the GCF number.
So the greatest common factor 1184 and 1202 is 2.

Also check out the Least Common Multiple of 1184 and 1202