What is the Greatest Common Factor of 74186 and 74202?

Greatest common factor (GCF) of 74186 and 74202 is 2.

GCF(74186,74202) = 2

We will now calculate the prime factors of 74186 and 74202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74186 and 74202.

How to find the GCF of 74186 and 74202?

We will first find the prime factorization of 74186 and 74202. After we will calculate the factors of 74186 and 74202 and find the biggest common factor number .

Step-1: Prime Factorization of 74186

Prime factors of 74186 are 2, 7, 757. Prime factorization of 74186 in exponential form is:

74186 = 2¹ × 7² × 757¹

Step-2: Prime Factorization of 74202

Prime factors of 74202 are 2, 3, 83, 149. Prime factorization of 74202 in exponential form is:

74202 = 2¹ × 3¹ × 83¹ × 149¹

Step-3: Factors of 74186

List of positive integer factors of 74186 that divides 74186 without a remainder.

1, 2, 7, 14, 49, 98, 757, 1514, 5299, 10598, 37093

Step-4: Factors of 74202

List of positive integer factors of 74202 that divides 74186 without a remainder.

1, 2, 3, 6, 83, 149, 166, 249, 298, 447, 498, 894, 12367, 24734, 37101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74186 and 74202. The biggest common factor number is the GCF number.
So the greatest common factor 74186 and 74202 is 2.

Also check out the Least Common Multiple of 74186 and 74202