What is the Greatest Common Factor of 74202 and 74218?

Greatest common factor (GCF) of 74202 and 74218 is 2.

GCF(74202,74218) = 2

We will now calculate the prime factors of 74202 and 74218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74202 and 74218.

How to find the GCF of 74202 and 74218?

We will first find the prime factorization of 74202 and 74218. After we will calculate the factors of 74202 and 74218 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74218

Prime factors of 74218 are 2, 43, 863. Prime factorization of 74218 in exponential form is:

74218 = 2¹ × 43¹ × 863¹

Step-3: Factors of 74202

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

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

Step-4: Factors of 74218

List of positive integer factors of 74218 that divides 74202 without a remainder.

1, 2, 43, 86, 863, 1726, 37109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74202 and 74218. The biggest common factor number is the GCF number.
So the greatest common factor 74202 and 74218 is 2.

Also check out the Least Common Multiple of 74202 and 74218