What is the Greatest Common Factor of 76140 and 76158?

Greatest common factor (GCF) of 76140 and 76158 is 18.

GCF(76140,76158) = 18

We will now calculate the prime factors of 76140 and 76158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76140 and 76158.

How to find the GCF of 76140 and 76158?

We will first find the prime factorization of 76140 and 76158. After we will calculate the factors of 76140 and 76158 and find the biggest common factor number .

Step-1: Prime Factorization of 76140

Prime factors of 76140 are 2, 3, 5, 47. Prime factorization of 76140 in exponential form is:

76140 = 2² × 3⁴ × 5¹ × 47¹

Step-2: Prime Factorization of 76158

Prime factors of 76158 are 2, 3, 4231. Prime factorization of 76158 in exponential form is:

76158 = 2¹ × 3² × 4231¹

Step-3: Factors of 76140

List of positive integer factors of 76140 that divides 76140 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 47, 54, 60, 81, 90, 94, 108, 135, 141, 162, 180, 188, 235, 270, 282, 324, 405, 423, 470, 540, 564, 705, 810, 846, 940, 1269, 1410, 1620, 1692, 2115, 2538, 2820, 3807, 4230, 5076, 6345, 7614, 8460, 12690, 15228, 19035, 25380, 38070

Step-4: Factors of 76158

List of positive integer factors of 76158 that divides 76140 without a remainder.

1, 2, 3, 6, 9, 18, 4231, 8462, 12693, 25386, 38079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76140 and 76158. The biggest common factor number is the GCF number.
So the greatest common factor 76140 and 76158 is 18.

Also check out the Least Common Multiple of 76140 and 76158