What is the Greatest Common Factor of 74752 and 74757?

Greatest common factor (GCF) of 74752 and 74757 is 1.

GCF(74752,74757) = 1

We will now calculate the prime factors of 74752 and 74757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74752 and 74757.

How to find the GCF of 74752 and 74757?

We will first find the prime factorization of 74752 and 74757. After we will calculate the factors of 74752 and 74757 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 74757

Prime factors of 74757 are 3, 24919. Prime factorization of 74757 in exponential form is:

74757 = 3¹ × 24919¹

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 74757

List of positive integer factors of 74757 that divides 74752 without a remainder.

1, 3, 24919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74752 and 74757. The biggest common factor number is the GCF number.
So the greatest common factor 74752 and 74757 is 1.

Also check out the Least Common Multiple of 74752 and 74757