What is the Greatest Common Factor of 78238 and 78250?

Greatest common factor (GCF) of 78238 and 78250 is 2.

GCF(78238,78250) = 2

We will now calculate the prime factors of 78238 and 78250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78238 and 78250.

How to find the GCF of 78238 and 78250?

We will first find the prime factorization of 78238 and 78250. After we will calculate the factors of 78238 and 78250 and find the biggest common factor number .

Step-1: Prime Factorization of 78238

Prime factors of 78238 are 2, 39119. Prime factorization of 78238 in exponential form is:

78238 = 2¹ × 39119¹

Step-2: Prime Factorization of 78250

Prime factors of 78250 are 2, 5, 313. Prime factorization of 78250 in exponential form is:

78250 = 2¹ × 5³ × 313¹

Step-3: Factors of 78238

List of positive integer factors of 78238 that divides 78238 without a remainder.

1, 2, 39119

Step-4: Factors of 78250

List of positive integer factors of 78250 that divides 78238 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 313, 626, 1565, 3130, 7825, 15650, 39125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78238 and 78250. The biggest common factor number is the GCF number.
So the greatest common factor 78238 and 78250 is 2.

Also check out the Least Common Multiple of 78238 and 78250