What is the Greatest Common Factor of 46492 and 46496?

Greatest common factor (GCF) of 46492 and 46496 is 4.

GCF(46492,46496) = 4

We will now calculate the prime factors of 46492 and 46496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46492 and 46496.

How to find the GCF of 46492 and 46496?

We will first find the prime factorization of 46492 and 46496. After we will calculate the factors of 46492 and 46496 and find the biggest common factor number .

Step-1: Prime Factorization of 46492

Prime factors of 46492 are 2, 59, 197. Prime factorization of 46492 in exponential form is:

46492 = 2² × 59¹ × 197¹

Step-2: Prime Factorization of 46496

Prime factors of 46496 are 2, 1453. Prime factorization of 46496 in exponential form is:

46496 = 2⁵ × 1453¹

Step-3: Factors of 46492

List of positive integer factors of 46492 that divides 46492 without a remainder.

1, 2, 4, 59, 118, 197, 236, 394, 788, 11623, 23246

Step-4: Factors of 46496

List of positive integer factors of 46496 that divides 46492 without a remainder.

1, 2, 4, 8, 16, 32, 1453, 2906, 5812, 11624, 23248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46492 and 46496. The biggest common factor number is the GCF number.
So the greatest common factor 46492 and 46496 is 4.

Also check out the Least Common Multiple of 46492 and 46496