What is the Greatest Common Factor of 76398 and 76407?

Greatest common factor (GCF) of 76398 and 76407 is 3.

GCF(76398,76407) = 3

We will now calculate the prime factors of 76398 and 76407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76398 and 76407.

How to find the GCF of 76398 and 76407?

We will first find the prime factorization of 76398 and 76407. After we will calculate the factors of 76398 and 76407 and find the biggest common factor number .

Step-1: Prime Factorization of 76398

Prime factors of 76398 are 2, 3, 7, 17, 107. Prime factorization of 76398 in exponential form is:

76398 = 2¹ × 3¹ × 7¹ × 17¹ × 107¹

Step-2: Prime Factorization of 76407

Prime factors of 76407 are 3, 25469. Prime factorization of 76407 in exponential form is:

76407 = 3¹ × 25469¹

Step-3: Factors of 76398

List of positive integer factors of 76398 that divides 76398 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 107, 119, 214, 238, 321, 357, 642, 714, 749, 1498, 1819, 2247, 3638, 4494, 5457, 10914, 12733, 25466, 38199

Step-4: Factors of 76407

List of positive integer factors of 76407 that divides 76398 without a remainder.

1, 3, 25469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76398 and 76407. The biggest common factor number is the GCF number.
So the greatest common factor 76398 and 76407 is 3.

Also check out the Least Common Multiple of 76398 and 76407