What is the Greatest Common Factor of 76220 and 76238?

Greatest common factor (GCF) of 76220 and 76238 is 2.

GCF(76220,76238) = 2

We will now calculate the prime factors of 76220 and 76238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76220 and 76238.

How to find the GCF of 76220 and 76238?

We will first find the prime factorization of 76220 and 76238. After we will calculate the factors of 76220 and 76238 and find the biggest common factor number .

Step-1: Prime Factorization of 76220

Prime factors of 76220 are 2, 5, 37, 103. Prime factorization of 76220 in exponential form is:

76220 = 2² × 5¹ × 37¹ × 103¹

Step-2: Prime Factorization of 76238

Prime factors of 76238 are 2, 38119. Prime factorization of 76238 in exponential form is:

76238 = 2¹ × 38119¹

Step-3: Factors of 76220

List of positive integer factors of 76220 that divides 76220 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 103, 148, 185, 206, 370, 412, 515, 740, 1030, 2060, 3811, 7622, 15244, 19055, 38110

Step-4: Factors of 76238

List of positive integer factors of 76238 that divides 76220 without a remainder.

1, 2, 38119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76220 and 76238. The biggest common factor number is the GCF number.
So the greatest common factor 76220 and 76238 is 2.

Also check out the Least Common Multiple of 76220 and 76238