What is the Greatest Common Factor of 76140 and 76150?

Greatest common factor (GCF) of 76140 and 76150 is 10.

GCF(76140,76150) = 10

We will now calculate the prime factors of 76140 and 76150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76140 and 76150.

How to find the GCF of 76140 and 76150?

We will first find the prime factorization of 76140 and 76150. After we will calculate the factors of 76140 and 76150 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 76150

Prime factors of 76150 are 2, 5, 1523. Prime factorization of 76150 in exponential form is:

76150 = 2¹ × 5² × 1523¹

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 76150

List of positive integer factors of 76150 that divides 76140 without a remainder.

1, 2, 5, 10, 25, 50, 1523, 3046, 7615, 15230, 38075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76140 and 76150. The biggest common factor number is the GCF number.
So the greatest common factor 76140 and 76150 is 10.

Also check out the Least Common Multiple of 76140 and 76150