What is the Greatest Common Factor of 78625 and 78645?

Greatest common factor (GCF) of 78625 and 78645 is 5.

GCF(78625,78645) = 5

We will now calculate the prime factors of 78625 and 78645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78625 and 78645.

How to find the GCF of 78625 and 78645?

We will first find the prime factorization of 78625 and 78645. After we will calculate the factors of 78625 and 78645 and find the biggest common factor number .

Step-1: Prime Factorization of 78625

Prime factors of 78625 are 5, 17, 37. Prime factorization of 78625 in exponential form is:

78625 = 5³ × 17¹ × 37¹

Step-2: Prime Factorization of 78645

Prime factors of 78645 are 3, 5, 7, 107. Prime factorization of 78645 in exponential form is:

78645 = 3¹ × 5¹ × 7² × 107¹

Step-3: Factors of 78625

List of positive integer factors of 78625 that divides 78625 without a remainder.

1, 5, 17, 25, 37, 85, 125, 185, 425, 629, 925, 2125, 3145, 4625, 15725

Step-4: Factors of 78645

List of positive integer factors of 78645 that divides 78625 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 107, 147, 245, 321, 535, 735, 749, 1605, 2247, 3745, 5243, 11235, 15729, 26215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78625 and 78645. The biggest common factor number is the GCF number.
So the greatest common factor 78625 and 78645 is 5.

Also check out the Least Common Multiple of 78625 and 78645