What is the Greatest Common Factor of 78596 and 78610?

Greatest common factor (GCF) of 78596 and 78610 is 14.

GCF(78596,78610) = 14

We will now calculate the prime factors of 78596 and 78610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78596 and 78610.

How to find the GCF of 78596 and 78610?

We will first find the prime factorization of 78596 and 78610. After we will calculate the factors of 78596 and 78610 and find the biggest common factor number .

Step-1: Prime Factorization of 78596

Prime factors of 78596 are 2, 7, 401. Prime factorization of 78596 in exponential form is:

78596 = 2² × 7² × 401¹

Step-2: Prime Factorization of 78610

Prime factors of 78610 are 2, 5, 7, 1123. Prime factorization of 78610 in exponential form is:

78610 = 2¹ × 5¹ × 7¹ × 1123¹

Step-3: Factors of 78596

List of positive integer factors of 78596 that divides 78596 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 401, 802, 1604, 2807, 5614, 11228, 19649, 39298

Step-4: Factors of 78610

List of positive integer factors of 78610 that divides 78596 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1123, 2246, 5615, 7861, 11230, 15722, 39305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78596 and 78610. The biggest common factor number is the GCF number.
So the greatest common factor 78596 and 78610 is 14.

Also check out the Least Common Multiple of 78596 and 78610