What is the Greatest Common Factor of 46632 and 46649?

Greatest common factor (GCF) of 46632 and 46649 is 1.

GCF(46632,46649) = 1

We will now calculate the prime factors of 46632 and 46649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46632 and 46649.

How to find the GCF of 46632 and 46649?

We will first find the prime factorization of 46632 and 46649. After we will calculate the factors of 46632 and 46649 and find the biggest common factor number .

Step-1: Prime Factorization of 46632

Prime factors of 46632 are 2, 3, 29, 67. Prime factorization of 46632 in exponential form is:

46632 = 2³ × 3¹ × 29¹ × 67¹

Step-2: Prime Factorization of 46649

Prime factors of 46649 are 46649. Prime factorization of 46649 in exponential form is:

46649 = 46649¹

Step-3: Factors of 46632

List of positive integer factors of 46632 that divides 46632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 67, 87, 116, 134, 174, 201, 232, 268, 348, 402, 536, 696, 804, 1608, 1943, 3886, 5829, 7772, 11658, 15544, 23316

Step-4: Factors of 46649

List of positive integer factors of 46649 that divides 46632 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46632 and 46649. The biggest common factor number is the GCF number.
So the greatest common factor 46632 and 46649 is 1.

Also check out the Least Common Multiple of 46632 and 46649