What is the Greatest Common Factor of 78962 and 78982?

Greatest common factor (GCF) of 78962 and 78982 is 2.

GCF(78962,78982) = 2

We will now calculate the prime factors of 78962 and 78982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78962 and 78982.

How to find the GCF of 78962 and 78982?

We will first find the prime factorization of 78962 and 78982. After we will calculate the factors of 78962 and 78982 and find the biggest common factor number .

Step-1: Prime Factorization of 78962

Prime factors of 78962 are 2, 13, 3037. Prime factorization of 78962 in exponential form is:

78962 = 2¹ × 13¹ × 3037¹

Step-2: Prime Factorization of 78982

Prime factors of 78982 are 2, 17, 23, 101. Prime factorization of 78982 in exponential form is:

78982 = 2¹ × 17¹ × 23¹ × 101¹

Step-3: Factors of 78962

List of positive integer factors of 78962 that divides 78962 without a remainder.

1, 2, 13, 26, 3037, 6074, 39481

Step-4: Factors of 78982

List of positive integer factors of 78982 that divides 78962 without a remainder.

1, 2, 17, 23, 34, 46, 101, 202, 391, 782, 1717, 2323, 3434, 4646, 39491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78962 and 78982. The biggest common factor number is the GCF number.
So the greatest common factor 78962 and 78982 is 2.

Also check out the Least Common Multiple of 78962 and 78982