What is the Greatest Common Factor of 72756 and 72760?

Greatest common factor (GCF) of 72756 and 72760 is 4.

GCF(72756,72760) = 4

We will now calculate the prime factors of 72756 and 72760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72756 and 72760.

How to find the GCF of 72756 and 72760?

We will first find the prime factorization of 72756 and 72760. After we will calculate the factors of 72756 and 72760 and find the biggest common factor number .

Step-1: Prime Factorization of 72756

Prime factors of 72756 are 2, 3, 43, 47. Prime factorization of 72756 in exponential form is:

72756 = 2² × 3² × 43¹ × 47¹

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 72756

List of positive integer factors of 72756 that divides 72756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 47, 86, 94, 129, 141, 172, 188, 258, 282, 387, 423, 516, 564, 774, 846, 1548, 1692, 2021, 4042, 6063, 8084, 12126, 18189, 24252, 36378

Step-4: Factors of 72760

List of positive integer factors of 72760 that divides 72756 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 72756 and 72760. The biggest common factor number is the GCF number.
So the greatest common factor 72756 and 72760 is 4.

Also check out the Least Common Multiple of 72756 and 72760