What is the Greatest Common Factor of 78940 and 78950?

Greatest common factor (GCF) of 78940 and 78950 is 10.

GCF(78940,78950) = 10

We will now calculate the prime factors of 78940 and 78950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78940 and 78950.

How to find the GCF of 78940 and 78950?

We will first find the prime factorization of 78940 and 78950. After we will calculate the factors of 78940 and 78950 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78950

Prime factors of 78950 are 2, 5, 1579. Prime factorization of 78950 in exponential form is:

78950 = 2¹ × 5² × 1579¹

Step-3: Factors of 78940

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

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

Step-4: Factors of 78950

List of positive integer factors of 78950 that divides 78940 without a remainder.

1, 2, 5, 10, 25, 50, 1579, 3158, 7895, 15790, 39475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78940 and 78950. The biggest common factor number is the GCF number.
So the greatest common factor 78940 and 78950 is 10.

Also check out the Least Common Multiple of 78940 and 78950