What is the Greatest Common Factor of 78090 and 78109?

Greatest common factor (GCF) of 78090 and 78109 is 19.

GCF(78090,78109) = 19

We will now calculate the prime factors of 78090 and 78109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78090 and 78109.

How to find the GCF of 78090 and 78109?

We will first find the prime factorization of 78090 and 78109. After we will calculate the factors of 78090 and 78109 and find the biggest common factor number .

Step-1: Prime Factorization of 78090

Prime factors of 78090 are 2, 3, 5, 19, 137. Prime factorization of 78090 in exponential form is:

78090 = 2¹ × 3¹ × 5¹ × 19¹ × 137¹

Step-2: Prime Factorization of 78109

Prime factors of 78109 are 19, 4111. Prime factorization of 78109 in exponential form is:

78109 = 19¹ × 4111¹

Step-3: Factors of 78090

List of positive integer factors of 78090 that divides 78090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 137, 190, 274, 285, 411, 570, 685, 822, 1370, 2055, 2603, 4110, 5206, 7809, 13015, 15618, 26030, 39045

Step-4: Factors of 78109

List of positive integer factors of 78109 that divides 78090 without a remainder.

1, 19, 4111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78090 and 78109. The biggest common factor number is the GCF number.
So the greatest common factor 78090 and 78109 is 19.

Also check out the Least Common Multiple of 78090 and 78109