What is the Greatest Common Factor of 74732 and 74752?

Greatest common factor (GCF) of 74732 and 74752 is 4.

GCF(74732,74752) = 4

We will now calculate the prime factors of 74732 and 74752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74732 and 74752.

How to find the GCF of 74732 and 74752?

We will first find the prime factorization of 74732 and 74752. After we will calculate the factors of 74732 and 74752 and find the biggest common factor number .

Step-1: Prime Factorization of 74732

Prime factors of 74732 are 2, 7, 17, 157. Prime factorization of 74732 in exponential form is:

74732 = 2² × 7¹ × 17¹ × 157¹

Step-2: Prime Factorization of 74752

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

74752 = 2¹⁰ × 73¹

Step-3: Factors of 74732

List of positive integer factors of 74732 that divides 74732 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 157, 238, 314, 476, 628, 1099, 2198, 2669, 4396, 5338, 10676, 18683, 37366

Step-4: Factors of 74752

List of positive integer factors of 74752 that divides 74732 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74732 and 74752. The biggest common factor number is the GCF number.
So the greatest common factor 74732 and 74752 is 4.

Also check out the Least Common Multiple of 74732 and 74752