What is the Greatest Common Factor of 76140 and 76148?

Greatest common factor (GCF) of 76140 and 76148 is 4.

GCF(76140,76148) = 4

We will now calculate the prime factors of 76140 and 76148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76140 and 76148.

How to find the GCF of 76140 and 76148?

We will first find the prime factorization of 76140 and 76148. After we will calculate the factors of 76140 and 76148 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 76148

Prime factors of 76148 are 2, 19037. Prime factorization of 76148 in exponential form is:

76148 = 2² × 19037¹

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 76148

List of positive integer factors of 76148 that divides 76140 without a remainder.

1, 2, 4, 19037, 38074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76140 and 76148. The biggest common factor number is the GCF number.
So the greatest common factor 76140 and 76148 is 4.

Also check out the Least Common Multiple of 76140 and 76148