What is the Greatest Common Factor of 46528 and 46538?

Greatest common factor (GCF) of 46528 and 46538 is 2.

GCF(46528,46538) = 2

We will now calculate the prime factors of 46528 and 46538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46528 and 46538.

How to find the GCF of 46528 and 46538?

We will first find the prime factorization of 46528 and 46538. After we will calculate the factors of 46528 and 46538 and find the biggest common factor number .

Step-1: Prime Factorization of 46528

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

46528 = 2⁶ × 727¹

Step-2: Prime Factorization of 46538

Prime factors of 46538 are 2, 23269. Prime factorization of 46538 in exponential form is:

46538 = 2¹ × 23269¹

Step-3: Factors of 46528

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

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

Step-4: Factors of 46538

List of positive integer factors of 46538 that divides 46528 without a remainder.

1, 2, 23269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46528 and 46538. The biggest common factor number is the GCF number.
So the greatest common factor 46528 and 46538 is 2.

Also check out the Least Common Multiple of 46528 and 46538