What is the Greatest Common Factor of 78036 and 78050?

Greatest common factor (GCF) of 78036 and 78050 is 14.

GCF(78036,78050) = 14

We will now calculate the prime factors of 78036 and 78050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78036 and 78050.

How to find the GCF of 78036 and 78050?

We will first find the prime factorization of 78036 and 78050. After we will calculate the factors of 78036 and 78050 and find the biggest common factor number .

Step-1: Prime Factorization of 78036

Prime factors of 78036 are 2, 3, 7, 929. Prime factorization of 78036 in exponential form is:

78036 = 2² × 3¹ × 7¹ × 929¹

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 78036

List of positive integer factors of 78036 that divides 78036 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 929, 1858, 2787, 3716, 5574, 6503, 11148, 13006, 19509, 26012, 39018

Step-4: Factors of 78050

List of positive integer factors of 78050 that divides 78036 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 78036 and 78050. The biggest common factor number is the GCF number.
So the greatest common factor 78036 and 78050 is 14.

Also check out the Least Common Multiple of 78036 and 78050