What is the Greatest Common Factor of 74764 and 74768?

Greatest common factor (GCF) of 74764 and 74768 is 4.

GCF(74764,74768) = 4

We will now calculate the prime factors of 74764 and 74768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74764 and 74768.

How to find the GCF of 74764 and 74768?

We will first find the prime factorization of 74764 and 74768. After we will calculate the factors of 74764 and 74768 and find the biggest common factor number .

Step-1: Prime Factorization of 74764

Prime factors of 74764 are 2, 18691. Prime factorization of 74764 in exponential form is:

74764 = 2² × 18691¹

Step-2: Prime Factorization of 74768

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

74768 = 2⁴ × 4673¹

Step-3: Factors of 74764

List of positive integer factors of 74764 that divides 74764 without a remainder.

1, 2, 4, 18691, 37382

Step-4: Factors of 74768

List of positive integer factors of 74768 that divides 74764 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74764 and 74768. The biggest common factor number is the GCF number.
So the greatest common factor 74764 and 74768 is 4.

Also check out the Least Common Multiple of 74764 and 74768