What is the Greatest Common Factor of 46352 and 46358?

Greatest common factor (GCF) of 46352 and 46358 is 2.

GCF(46352,46358) = 2

We will now calculate the prime factors of 46352 and 46358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46352 and 46358.

How to find the GCF of 46352 and 46358?

We will first find the prime factorization of 46352 and 46358. After we will calculate the factors of 46352 and 46358 and find the biggest common factor number .

Step-1: Prime Factorization of 46352

Prime factors of 46352 are 2, 2897. Prime factorization of 46352 in exponential form is:

46352 = 2⁴ × 2897¹

Step-2: Prime Factorization of 46358

Prime factors of 46358 are 2, 13, 1783. Prime factorization of 46358 in exponential form is:

46358 = 2¹ × 13¹ × 1783¹

Step-3: Factors of 46352

List of positive integer factors of 46352 that divides 46352 without a remainder.

1, 2, 4, 8, 16, 2897, 5794, 11588, 23176

Step-4: Factors of 46358

List of positive integer factors of 46358 that divides 46352 without a remainder.

1, 2, 13, 26, 1783, 3566, 23179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46352 and 46358. The biggest common factor number is the GCF number.
So the greatest common factor 46352 and 46358 is 2.

Also check out the Least Common Multiple of 46352 and 46358