What is the Greatest Common Factor of 76356 and 76374?

Greatest common factor (GCF) of 76356 and 76374 is 18.

GCF(76356,76374) = 18

We will now calculate the prime factors of 76356 and 76374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76356 and 76374.

How to find the GCF of 76356 and 76374?

We will first find the prime factorization of 76356 and 76374. After we will calculate the factors of 76356 and 76374 and find the biggest common factor number .

Step-1: Prime Factorization of 76356

Prime factors of 76356 are 2, 3, 7, 101. Prime factorization of 76356 in exponential form is:

76356 = 2² × 3³ × 7¹ × 101¹

Step-2: Prime Factorization of 76374

Prime factors of 76374 are 2, 3, 4243. Prime factorization of 76374 in exponential form is:

76374 = 2¹ × 3² × 4243¹

Step-3: Factors of 76356

List of positive integer factors of 76356 that divides 76356 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 101, 108, 126, 189, 202, 252, 303, 378, 404, 606, 707, 756, 909, 1212, 1414, 1818, 2121, 2727, 2828, 3636, 4242, 5454, 6363, 8484, 10908, 12726, 19089, 25452, 38178

Step-4: Factors of 76374

List of positive integer factors of 76374 that divides 76356 without a remainder.

1, 2, 3, 6, 9, 18, 4243, 8486, 12729, 25458, 38187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76356 and 76374. The biggest common factor number is the GCF number.
So the greatest common factor 76356 and 76374 is 18.

Also check out the Least Common Multiple of 76356 and 76374