What is the Greatest Common Factor of 74772 and 74784?

Greatest common factor (GCF) of 74772 and 74784 is 12.

GCF(74772,74784) = 12

We will now calculate the prime factors of 74772 and 74784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74772 and 74784.

How to find the GCF of 74772 and 74784?

We will first find the prime factorization of 74772 and 74784. After we will calculate the factors of 74772 and 74784 and find the biggest common factor number .

Step-1: Prime Factorization of 74772

Prime factors of 74772 are 2, 3, 31, 67. Prime factorization of 74772 in exponential form is:

74772 = 2² × 3² × 31¹ × 67¹

Step-2: Prime Factorization of 74784

Prime factors of 74784 are 2, 3, 19, 41. Prime factorization of 74784 in exponential form is:

74784 = 2⁵ × 3¹ × 19¹ × 41¹

Step-3: Factors of 74772

List of positive integer factors of 74772 that divides 74772 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 67, 93, 124, 134, 186, 201, 268, 279, 372, 402, 558, 603, 804, 1116, 1206, 2077, 2412, 4154, 6231, 8308, 12462, 18693, 24924, 37386

Step-4: Factors of 74784

List of positive integer factors of 74784 that divides 74772 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 41, 48, 57, 76, 82, 96, 114, 123, 152, 164, 228, 246, 304, 328, 456, 492, 608, 656, 779, 912, 984, 1312, 1558, 1824, 1968, 2337, 3116, 3936, 4674, 6232, 9348, 12464, 18696, 24928, 37392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74772 and 74784. The biggest common factor number is the GCF number.
So the greatest common factor 74772 and 74784 is 12.

Also check out the Least Common Multiple of 74772 and 74784