What is the Greatest Common Factor of 78236 and 78248?

Greatest common factor (GCF) of 78236 and 78248 is 4.

GCF(78236,78248) = 4

We will now calculate the prime factors of 78236 and 78248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78236 and 78248.

How to find the GCF of 78236 and 78248?

We will first find the prime factorization of 78236 and 78248. After we will calculate the factors of 78236 and 78248 and find the biggest common factor number .

Step-1: Prime Factorization of 78236

Prime factors of 78236 are 2, 19559. Prime factorization of 78236 in exponential form is:

78236 = 2² × 19559¹

Step-2: Prime Factorization of 78248

Prime factors of 78248 are 2, 9781. Prime factorization of 78248 in exponential form is:

78248 = 2³ × 9781¹

Step-3: Factors of 78236

List of positive integer factors of 78236 that divides 78236 without a remainder.

1, 2, 4, 19559, 39118

Step-4: Factors of 78248

List of positive integer factors of 78248 that divides 78236 without a remainder.

1, 2, 4, 8, 9781, 19562, 39124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78236 and 78248. The biggest common factor number is the GCF number.
So the greatest common factor 78236 and 78248 is 4.

Also check out the Least Common Multiple of 78236 and 78248