What is the Greatest Common Factor of 45332 and 45352?

Greatest common factor (GCF) of 45332 and 45352 is 4.

GCF(45332,45352) = 4

We will now calculate the prime factors of 45332 and 45352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45332 and 45352.

How to find the GCF of 45332 and 45352?

We will first find the prime factorization of 45332 and 45352. After we will calculate the factors of 45332 and 45352 and find the biggest common factor number .

Step-1: Prime Factorization of 45332

Prime factors of 45332 are 2, 7, 1619. Prime factorization of 45332 in exponential form is:

45332 = 2² × 7¹ × 1619¹

Step-2: Prime Factorization of 45352

Prime factors of 45352 are 2, 5669. Prime factorization of 45352 in exponential form is:

45352 = 2³ × 5669¹

Step-3: Factors of 45332

List of positive integer factors of 45332 that divides 45332 without a remainder.

1, 2, 4, 7, 14, 28, 1619, 3238, 6476, 11333, 22666

Step-4: Factors of 45352

List of positive integer factors of 45352 that divides 45332 without a remainder.

1, 2, 4, 8, 5669, 11338, 22676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45332 and 45352. The biggest common factor number is the GCF number.
So the greatest common factor 45332 and 45352 is 4.

Also check out the Least Common Multiple of 45332 and 45352