What is the Greatest Common Factor of 78638 and 78652?

Greatest common factor (GCF) of 78638 and 78652 is 14.

GCF(78638,78652) = 14

We will now calculate the prime factors of 78638 and 78652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78638 and 78652.

How to find the GCF of 78638 and 78652?

We will first find the prime factorization of 78638 and 78652. After we will calculate the factors of 78638 and 78652 and find the biggest common factor number .

Step-1: Prime Factorization of 78638

Prime factors of 78638 are 2, 7, 41, 137. Prime factorization of 78638 in exponential form is:

78638 = 2¹ × 7¹ × 41¹ × 137¹

Step-2: Prime Factorization of 78652

Prime factors of 78652 are 2, 7, 53. Prime factorization of 78652 in exponential form is:

78652 = 2² × 7¹ × 53²

Step-3: Factors of 78638

List of positive integer factors of 78638 that divides 78638 without a remainder.

1, 2, 7, 14, 41, 82, 137, 274, 287, 574, 959, 1918, 5617, 11234, 39319

Step-4: Factors of 78652

List of positive integer factors of 78652 that divides 78638 without a remainder.

1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484, 2809, 5618, 11236, 19663, 39326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78638 and 78652. The biggest common factor number is the GCF number.
So the greatest common factor 78638 and 78652 is 14.

Also check out the Least Common Multiple of 78638 and 78652