What is the Greatest Common Factor of 78825 and 78834?

Greatest common factor (GCF) of 78825 and 78834 is 3.

GCF(78825,78834) = 3

We will now calculate the prime factors of 78825 and 78834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78825 and 78834.

How to find the GCF of 78825 and 78834?

We will first find the prime factorization of 78825 and 78834. After we will calculate the factors of 78825 and 78834 and find the biggest common factor number .

Step-1: Prime Factorization of 78825

Prime factors of 78825 are 3, 5, 1051. Prime factorization of 78825 in exponential form is:

78825 = 3¹ × 5² × 1051¹

Step-2: Prime Factorization of 78834

Prime factors of 78834 are 2, 3, 7, 1877. Prime factorization of 78834 in exponential form is:

78834 = 2¹ × 3¹ × 7¹ × 1877¹

Step-3: Factors of 78825

List of positive integer factors of 78825 that divides 78825 without a remainder.

1, 3, 5, 15, 25, 75, 1051, 3153, 5255, 15765, 26275

Step-4: Factors of 78834

List of positive integer factors of 78834 that divides 78825 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1877, 3754, 5631, 11262, 13139, 26278, 39417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78825 and 78834. The biggest common factor number is the GCF number.
So the greatest common factor 78825 and 78834 is 3.

Also check out the Least Common Multiple of 78825 and 78834