What is the Greatest Common Factor of 78250 and 78263?

Greatest common factor (GCF) of 78250 and 78263 is 1.

GCF(78250,78263) = 1

We will now calculate the prime factors of 78250 and 78263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78250 and 78263.

How to find the GCF of 78250 and 78263?

We will first find the prime factorization of 78250 and 78263. After we will calculate the factors of 78250 and 78263 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78263

Prime factors of 78263 are 61, 1283. Prime factorization of 78263 in exponential form is:

78263 = 61¹ × 1283¹

Step-3: Factors of 78250

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

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

Step-4: Factors of 78263

List of positive integer factors of 78263 that divides 78250 without a remainder.

1, 61, 1283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78250 and 78263. The biggest common factor number is the GCF number.
So the greatest common factor 78250 and 78263 is 1.

Also check out the Least Common Multiple of 78250 and 78263