What is the Greatest Common Factor of 78090 and 78101?

Greatest common factor (GCF) of 78090 and 78101 is 1.

GCF(78090,78101) = 1

We will now calculate the prime factors of 78090 and 78101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78090 and 78101.

How to find the GCF of 78090 and 78101?

We will first find the prime factorization of 78090 and 78101. After we will calculate the factors of 78090 and 78101 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 78101

Prime factors of 78101 are 78101. Prime factorization of 78101 in exponential form is:

78101 = 78101¹

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 78101

List of positive integer factors of 78101 that divides 78090 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78090 and 78101. The biggest common factor number is the GCF number.
So the greatest common factor 78090 and 78101 is 1.

Also check out the Least Common Multiple of 78090 and 78101