What is the Greatest Common Factor of 76140 and 76157?

Greatest common factor (GCF) of 76140 and 76157 is 1.

GCF(76140,76157) = 1

We will now calculate the prime factors of 76140 and 76157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76140 and 76157.

How to find the GCF of 76140 and 76157?

We will first find the prime factorization of 76140 and 76157. After we will calculate the factors of 76140 and 76157 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 76157

Prime factors of 76157 are 76157. Prime factorization of 76157 in exponential form is:

76157 = 76157¹

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 76157

List of positive integer factors of 76157 that divides 76140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76140 and 76157. The biggest common factor number is the GCF number.
So the greatest common factor 76140 and 76157 is 1.

Also check out the Least Common Multiple of 76140 and 76157