What is the Greatest Common Factor of 74768 and 74772?

Greatest common factor (GCF) of 74768 and 74772 is 4.

GCF(74768,74772) = 4

We will now calculate the prime factors of 74768 and 74772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74768 and 74772.

How to find the GCF of 74768 and 74772?

We will first find the prime factorization of 74768 and 74772. After we will calculate the factors of 74768 and 74772 and find the biggest common factor number .

Step-1: Prime Factorization of 74768

Prime factors of 74768 are 2, 4673. Prime factorization of 74768 in exponential form is:

74768 = 2⁴ × 4673¹

Step-2: 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-3: Factors of 74768

List of positive integer factors of 74768 that divides 74768 without a remainder.

1, 2, 4, 8, 16, 4673, 9346, 18692, 37384

Step-4: Factors of 74772

List of positive integer factors of 74772 that divides 74768 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74768 and 74772. The biggest common factor number is the GCF number.
So the greatest common factor 74768 and 74772 is 4.

Also check out the Least Common Multiple of 74768 and 74772