What is the Greatest Common Factor of 78690 and 78700?

Greatest common factor (GCF) of 78690 and 78700 is 10.

GCF(78690,78700) = 10

We will now calculate the prime factors of 78690 and 78700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78690 and 78700.

How to find the GCF of 78690 and 78700?

We will first find the prime factorization of 78690 and 78700. After we will calculate the factors of 78690 and 78700 and find the biggest common factor number .

Step-1: Prime Factorization of 78690

Prime factors of 78690 are 2, 3, 5, 43, 61. Prime factorization of 78690 in exponential form is:

78690 = 2¹ × 3¹ × 5¹ × 43¹ × 61¹

Step-2: 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-3: Factors of 78690

List of positive integer factors of 78690 that divides 78690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 61, 86, 122, 129, 183, 215, 258, 305, 366, 430, 610, 645, 915, 1290, 1830, 2623, 5246, 7869, 13115, 15738, 26230, 39345

Step-4: Factors of 78700

List of positive integer factors of 78700 that divides 78690 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78690 and 78700. The biggest common factor number is the GCF number.
So the greatest common factor 78690 and 78700 is 10.

Also check out the Least Common Multiple of 78690 and 78700