What is the Greatest Common Factor of 78035 and 78050?

Greatest common factor (GCF) of 78035 and 78050 is 5.

GCF(78035,78050) = 5

We will now calculate the prime factors of 78035 and 78050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78035 and 78050.

How to find the GCF of 78035 and 78050?

We will first find the prime factorization of 78035 and 78050. After we will calculate the factors of 78035 and 78050 and find the biggest common factor number .

Step-1: Prime Factorization of 78035

Prime factors of 78035 are 5, 15607. Prime factorization of 78035 in exponential form is:

78035 = 5¹ × 15607¹

Step-2: Prime Factorization of 78050

Prime factors of 78050 are 2, 5, 7, 223. Prime factorization of 78050 in exponential form is:

78050 = 2¹ × 5² × 7¹ × 223¹

Step-3: Factors of 78035

List of positive integer factors of 78035 that divides 78035 without a remainder.

1, 5, 15607

Step-4: Factors of 78050

List of positive integer factors of 78050 that divides 78035 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 223, 350, 446, 1115, 1561, 2230, 3122, 5575, 7805, 11150, 15610, 39025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78035 and 78050. The biggest common factor number is the GCF number.
So the greatest common factor 78035 and 78050 is 5.

Also check out the Least Common Multiple of 78035 and 78050