What is the Greatest Common Factor of 78740 and 78746?

Greatest common factor (GCF) of 78740 and 78746 is 2.

GCF(78740,78746) = 2

We will now calculate the prime factors of 78740 and 78746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78740 and 78746.

How to find the GCF of 78740 and 78746?

We will first find the prime factorization of 78740 and 78746. After we will calculate the factors of 78740 and 78746 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78746

Prime factors of 78746 are 2, 39373. Prime factorization of 78746 in exponential form is:

78746 = 2¹ × 39373¹

Step-3: Factors of 78740

List of positive integer factors of 78740 that divides 78740 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

Step-4: Factors of 78746

List of positive integer factors of 78746 that divides 78740 without a remainder.

1, 2, 39373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78740 and 78746. The biggest common factor number is the GCF number.
So the greatest common factor 78740 and 78746 is 2.

Also check out the Least Common Multiple of 78740 and 78746