What is the Greatest Common Factor of 76356 and 76370?

Greatest common factor (GCF) of 76356 and 76370 is 14.

GCF(76356,76370) = 14

We will now calculate the prime factors of 76356 and 76370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76356 and 76370.

How to find the GCF of 76356 and 76370?

We will first find the prime factorization of 76356 and 76370. After we will calculate the factors of 76356 and 76370 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 76370

Prime factors of 76370 are 2, 5, 7, 1091. Prime factorization of 76370 in exponential form is:

76370 = 2¹ × 5¹ × 7¹ × 1091¹

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 76370

List of positive integer factors of 76370 that divides 76356 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1091, 2182, 5455, 7637, 10910, 15274, 38185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76356 and 76370. The biggest common factor number is the GCF number.
So the greatest common factor 76356 and 76370 is 14.

Also check out the Least Common Multiple of 76356 and 76370