What is the Greatest Common Factor of 45312 and 45332?

Greatest common factor (GCF) of 45312 and 45332 is 4.

GCF(45312,45332) = 4

We will now calculate the prime factors of 45312 and 45332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45312 and 45332.

How to find the GCF of 45312 and 45332?

We will first find the prime factorization of 45312 and 45332. After we will calculate the factors of 45312 and 45332 and find the biggest common factor number .

Step-1: Prime Factorization of 45312

Prime factors of 45312 are 2, 3, 59. Prime factorization of 45312 in exponential form is:

45312 = 2⁸ × 3¹ × 59¹

Step-2: 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-3: Factors of 45312

List of positive integer factors of 45312 that divides 45312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 64, 96, 118, 128, 177, 192, 236, 256, 354, 384, 472, 708, 768, 944, 1416, 1888, 2832, 3776, 5664, 7552, 11328, 15104, 22656

Step-4: Factors of 45332

List of positive integer factors of 45332 that divides 45312 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45312 and 45332. The biggest common factor number is the GCF number.
So the greatest common factor 45312 and 45332 is 4.

Also check out the Least Common Multiple of 45312 and 45332