What is the Greatest Common Factor of 74220 and 74238?

Greatest common factor (GCF) of 74220 and 74238 is 6.

GCF(74220,74238) = 6

We will now calculate the prime factors of 74220 and 74238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74220 and 74238.

How to find the GCF of 74220 and 74238?

We will first find the prime factorization of 74220 and 74238. After we will calculate the factors of 74220 and 74238 and find the biggest common factor number .

Step-1: Prime Factorization of 74220

Prime factors of 74220 are 2, 3, 5, 1237. Prime factorization of 74220 in exponential form is:

74220 = 2² × 3¹ × 5¹ × 1237¹

Step-2: Prime Factorization of 74238

Prime factors of 74238 are 2, 3, 12373. Prime factorization of 74238 in exponential form is:

74238 = 2¹ × 3¹ × 12373¹

Step-3: Factors of 74220

List of positive integer factors of 74220 that divides 74220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1237, 2474, 3711, 4948, 6185, 7422, 12370, 14844, 18555, 24740, 37110

Step-4: Factors of 74238

List of positive integer factors of 74238 that divides 74220 without a remainder.

1, 2, 3, 6, 12373, 24746, 37119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74220 and 74238. The biggest common factor number is the GCF number.
So the greatest common factor 74220 and 74238 is 6.

Also check out the Least Common Multiple of 74220 and 74238