What is the Greatest Common Factor of 78814 and 78820?

Greatest common factor (GCF) of 78814 and 78820 is 2.

GCF(78814,78820) = 2

We will now calculate the prime factors of 78814 and 78820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78814 and 78820.

How to find the GCF of 78814 and 78820?

We will first find the prime factorization of 78814 and 78820. After we will calculate the factors of 78814 and 78820 and find the biggest common factor number .

Step-1: Prime Factorization of 78814

Prime factors of 78814 are 2, 157, 251. Prime factorization of 78814 in exponential form is:

78814 = 2¹ × 157¹ × 251¹

Step-2: Prime Factorization of 78820

Prime factors of 78820 are 2, 5, 7, 563. Prime factorization of 78820 in exponential form is:

78820 = 2² × 5¹ × 7¹ × 563¹

Step-3: Factors of 78814

List of positive integer factors of 78814 that divides 78814 without a remainder.

1, 2, 157, 251, 314, 502, 39407

Step-4: Factors of 78820

List of positive integer factors of 78820 that divides 78814 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 563, 1126, 2252, 2815, 3941, 5630, 7882, 11260, 15764, 19705, 39410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78814 and 78820. The biggest common factor number is the GCF number.
So the greatest common factor 78814 and 78820 is 2.

Also check out the Least Common Multiple of 78814 and 78820