What is the Greatest Common Factor of 74752 and 74758?

Greatest common factor (GCF) of 74752 and 74758 is 2.

GCF(74752,74758) = 2

We will now calculate the prime factors of 74752 and 74758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74752 and 74758.

How to find the GCF of 74752 and 74758?

We will first find the prime factorization of 74752 and 74758. After we will calculate the factors of 74752 and 74758 and find the biggest common factor number .

Step-1: Prime Factorization of 74752

Prime factors of 74752 are 2, 73. Prime factorization of 74752 in exponential form is:

74752 = 2¹⁰ × 73¹

Step-2: Prime Factorization of 74758

Prime factors of 74758 are 2, 37379. Prime factorization of 74758 in exponential form is:

74758 = 2¹ × 37379¹

Step-3: Factors of 74752

List of positive integer factors of 74752 that divides 74752 without a remainder.

1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 256, 292, 512, 584, 1024, 1168, 2336, 4672, 9344, 18688, 37376

Step-4: Factors of 74758

List of positive integer factors of 74758 that divides 74752 without a remainder.

1, 2, 37379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74752 and 74758. The biggest common factor number is the GCF number.
So the greatest common factor 74752 and 74758 is 2.

Also check out the Least Common Multiple of 74752 and 74758