What is the Greatest Common Factor of 78700 and 78708?

Greatest common factor (GCF) of 78700 and 78708 is 4.

GCF(78700,78708) = 4

We will now calculate the prime factors of 78700 and 78708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78700 and 78708.

How to find the GCF of 78700 and 78708?

We will first find the prime factorization of 78700 and 78708. After we will calculate the factors of 78700 and 78708 and find the biggest common factor number .

Step-1: Prime Factorization of 78700

Prime factors of 78700 are 2, 5, 787. Prime factorization of 78700 in exponential form is:

78700 = 2² × 5² × 787¹

Step-2: Prime Factorization of 78708

Prime factors of 78708 are 2, 3, 7, 937. Prime factorization of 78708 in exponential form is:

78708 = 2² × 3¹ × 7¹ × 937¹

Step-3: Factors of 78700

List of positive integer factors of 78700 that divides 78700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 787, 1574, 3148, 3935, 7870, 15740, 19675, 39350

Step-4: Factors of 78708

List of positive integer factors of 78708 that divides 78700 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 937, 1874, 2811, 3748, 5622, 6559, 11244, 13118, 19677, 26236, 39354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78700 and 78708. The biggest common factor number is the GCF number.
So the greatest common factor 78700 and 78708 is 4.

Also check out the Least Common Multiple of 78700 and 78708