What is the Greatest Common Factor of 74772 and 74778?

Greatest common factor (GCF) of 74772 and 74778 is 6.

GCF(74772,74778) = 6

We will now calculate the prime factors of 74772 and 74778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74772 and 74778.

How to find the GCF of 74772 and 74778?

We will first find the prime factorization of 74772 and 74778. After we will calculate the factors of 74772 and 74778 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 74778

Prime factors of 74778 are 2, 3, 11, 103. Prime factorization of 74778 in exponential form is:

74778 = 2¹ × 3¹ × 11² × 103¹

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 74778

List of positive integer factors of 74778 that divides 74772 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 103, 121, 206, 242, 309, 363, 618, 726, 1133, 2266, 3399, 6798, 12463, 24926, 37389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74772 and 74778. The biggest common factor number is the GCF number.
So the greatest common factor 74772 and 74778 is 6.

Also check out the Least Common Multiple of 74772 and 74778