What is the Greatest Common Factor of 76350 and 76360?

Greatest common factor (GCF) of 76350 and 76360 is 10.

GCF(76350,76360) = 10

We will now calculate the prime factors of 76350 and 76360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76350 and 76360.

How to find the GCF of 76350 and 76360?

We will first find the prime factorization of 76350 and 76360. After we will calculate the factors of 76350 and 76360 and find the biggest common factor number .

Step-1: Prime Factorization of 76350

Prime factors of 76350 are 2, 3, 5, 509. Prime factorization of 76350 in exponential form is:

76350 = 2¹ × 3¹ × 5² × 509¹

Step-2: Prime Factorization of 76360

Prime factors of 76360 are 2, 5, 23, 83. Prime factorization of 76360 in exponential form is:

76360 = 2³ × 5¹ × 23¹ × 83¹

Step-3: Factors of 76350

List of positive integer factors of 76350 that divides 76350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 509, 1018, 1527, 2545, 3054, 5090, 7635, 12725, 15270, 25450, 38175

Step-4: Factors of 76360

List of positive integer factors of 76360 that divides 76350 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 83, 92, 115, 166, 184, 230, 332, 415, 460, 664, 830, 920, 1660, 1909, 3320, 3818, 7636, 9545, 15272, 19090, 38180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76350 and 76360. The biggest common factor number is the GCF number.
So the greatest common factor 76350 and 76360 is 10.

Also check out the Least Common Multiple of 76350 and 76360