What is the Greatest Common Factor of 78874 and 78884?

Greatest common factor (GCF) of 78874 and 78884 is 2.

GCF(78874,78884) = 2

We will now calculate the prime factors of 78874 and 78884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78874 and 78884.

How to find the GCF of 78874 and 78884?

We will first find the prime factorization of 78874 and 78884. After we will calculate the factors of 78874 and 78884 and find the biggest common factor number .

Step-1: Prime Factorization of 78874

Prime factors of 78874 are 2, 113, 349. Prime factorization of 78874 in exponential form is:

78874 = 2¹ × 113¹ × 349¹

Step-2: Prime Factorization of 78884

Prime factors of 78884 are 2, 13, 37, 41. Prime factorization of 78884 in exponential form is:

78884 = 2² × 13¹ × 37¹ × 41¹

Step-3: Factors of 78874

List of positive integer factors of 78874 that divides 78874 without a remainder.

1, 2, 113, 226, 349, 698, 39437

Step-4: Factors of 78884

List of positive integer factors of 78884 that divides 78874 without a remainder.

1, 2, 4, 13, 26, 37, 41, 52, 74, 82, 148, 164, 481, 533, 962, 1066, 1517, 1924, 2132, 3034, 6068, 19721, 39442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78874 and 78884. The biggest common factor number is the GCF number.
So the greatest common factor 78874 and 78884 is 2.

Also check out the Least Common Multiple of 78874 and 78884