What is the Greatest Common Factor of 44732 and 44752?

Greatest common factor (GCF) of 44732 and 44752 is 4.

GCF(44732,44752) = 4

We will now calculate the prime factors of 44732 and 44752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44732 and 44752.

How to find the GCF of 44732 and 44752?

We will first find the prime factorization of 44732 and 44752. After we will calculate the factors of 44732 and 44752 and find the biggest common factor number .

Step-1: Prime Factorization of 44732

Prime factors of 44732 are 2, 53, 211. Prime factorization of 44732 in exponential form is:

44732 = 2² × 53¹ × 211¹

Step-2: Prime Factorization of 44752

Prime factors of 44752 are 2, 2797. Prime factorization of 44752 in exponential form is:

44752 = 2⁴ × 2797¹

Step-3: Factors of 44732

List of positive integer factors of 44732 that divides 44732 without a remainder.

1, 2, 4, 53, 106, 211, 212, 422, 844, 11183, 22366

Step-4: Factors of 44752

List of positive integer factors of 44752 that divides 44732 without a remainder.

1, 2, 4, 8, 16, 2797, 5594, 11188, 22376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44732 and 44752. The biggest common factor number is the GCF number.
So the greatest common factor 44732 and 44752 is 4.

Also check out the Least Common Multiple of 44732 and 44752