What is the Greatest Common Factor of 46522 and 46528?

Greatest common factor (GCF) of 46522 and 46528 is 2.

GCF(46522,46528) = 2

We will now calculate the prime factors of 46522 and 46528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46522 and 46528.

How to find the GCF of 46522 and 46528?

We will first find the prime factorization of 46522 and 46528. After we will calculate the factors of 46522 and 46528 and find the biggest common factor number .

Step-1: Prime Factorization of 46522

Prime factors of 46522 are 2, 7, 3323. Prime factorization of 46522 in exponential form is:

46522 = 2¹ × 7¹ × 3323¹

Step-2: Prime Factorization of 46528

Prime factors of 46528 are 2, 727. Prime factorization of 46528 in exponential form is:

46528 = 2⁶ × 727¹

Step-3: Factors of 46522

List of positive integer factors of 46522 that divides 46522 without a remainder.

1, 2, 7, 14, 3323, 6646, 23261

Step-4: Factors of 46528

List of positive integer factors of 46528 that divides 46522 without a remainder.

1, 2, 4, 8, 16, 32, 64, 727, 1454, 2908, 5816, 11632, 23264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46522 and 46528. The biggest common factor number is the GCF number.
So the greatest common factor 46522 and 46528 is 2.

Also check out the Least Common Multiple of 46522 and 46528