What is the Greatest Common Factor of 78920 and 78940?

Greatest common factor (GCF) of 78920 and 78940 is 20.

GCF(78920,78940) = 20

We will now calculate the prime factors of 78920 and 78940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78920 and 78940.

How to find the GCF of 78920 and 78940?

We will first find the prime factorization of 78920 and 78940. After we will calculate the factors of 78920 and 78940 and find the biggest common factor number .

Step-1: Prime Factorization of 78920

Prime factors of 78920 are 2, 5, 1973. Prime factorization of 78920 in exponential form is:

78920 = 2³ × 5¹ × 1973¹

Step-2: Prime Factorization of 78940

Prime factors of 78940 are 2, 5, 3947. Prime factorization of 78940 in exponential form is:

78940 = 2² × 5¹ × 3947¹

Step-3: Factors of 78920

List of positive integer factors of 78920 that divides 78920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1973, 3946, 7892, 9865, 15784, 19730, 39460

Step-4: Factors of 78940

List of positive integer factors of 78940 that divides 78920 without a remainder.

1, 2, 4, 5, 10, 20, 3947, 7894, 15788, 19735, 39470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78920 and 78940. The biggest common factor number is the GCF number.
So the greatest common factor 78920 and 78940 is 20.

Also check out the Least Common Multiple of 78920 and 78940