What is the Greatest Common Factor of 78730 and 78740?

Greatest common factor (GCF) of 78730 and 78740 is 10.

GCF(78730,78740) = 10

We will now calculate the prime factors of 78730 and 78740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78730 and 78740.

How to find the GCF of 78730 and 78740?

We will first find the prime factorization of 78730 and 78740. After we will calculate the factors of 78730 and 78740 and find the biggest common factor number .

Step-1: Prime Factorization of 78730

Prime factors of 78730 are 2, 5, 7873. Prime factorization of 78730 in exponential form is:

78730 = 2¹ × 5¹ × 7873¹

Step-2: Prime Factorization of 78740

Prime factors of 78740 are 2, 5, 31, 127. Prime factorization of 78740 in exponential form is:

78740 = 2² × 5¹ × 31¹ × 127¹

Step-3: Factors of 78730

List of positive integer factors of 78730 that divides 78730 without a remainder.

1, 2, 5, 10, 7873, 15746, 39365

Step-4: Factors of 78740

List of positive integer factors of 78740 that divides 78730 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 127, 155, 254, 310, 508, 620, 635, 1270, 2540, 3937, 7874, 15748, 19685, 39370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78730 and 78740. The biggest common factor number is the GCF number.
So the greatest common factor 78730 and 78740 is 10.

Also check out the Least Common Multiple of 78730 and 78740