What is the Greatest Common Factor of 72750 and 72760?

Greatest common factor (GCF) of 72750 and 72760 is 10.

GCF(72750,72760) = 10

We will now calculate the prime factors of 72750 and 72760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72750 and 72760.

How to find the GCF of 72750 and 72760?

We will first find the prime factorization of 72750 and 72760. After we will calculate the factors of 72750 and 72760 and find the biggest common factor number .

Step-1: Prime Factorization of 72750

Prime factors of 72750 are 2, 3, 5, 97. Prime factorization of 72750 in exponential form is:

72750 = 2¹ × 3¹ × 5³ × 97¹

Step-2: Prime Factorization of 72760

Prime factors of 72760 are 2, 5, 17, 107. Prime factorization of 72760 in exponential form is:

72760 = 2³ × 5¹ × 17¹ × 107¹

Step-3: Factors of 72750

List of positive integer factors of 72750 that divides 72750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 97, 125, 150, 194, 250, 291, 375, 485, 582, 750, 970, 1455, 2425, 2910, 4850, 7275, 12125, 14550, 24250, 36375

Step-4: Factors of 72760

List of positive integer factors of 72760 that divides 72750 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 107, 136, 170, 214, 340, 428, 535, 680, 856, 1070, 1819, 2140, 3638, 4280, 7276, 9095, 14552, 18190, 36380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72750 and 72760. The biggest common factor number is the GCF number.
So the greatest common factor 72750 and 72760 is 10.

Also check out the Least Common Multiple of 72750 and 72760