What is the Greatest Common Factor of 46612 and 46632?

Greatest common factor (GCF) of 46612 and 46632 is 4.

GCF(46612,46632) = 4

We will now calculate the prime factors of 46612 and 46632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46612 and 46632.

How to find the GCF of 46612 and 46632?

We will first find the prime factorization of 46612 and 46632. After we will calculate the factors of 46612 and 46632 and find the biggest common factor number .

Step-1: Prime Factorization of 46612

Prime factors of 46612 are 2, 43, 271. Prime factorization of 46612 in exponential form is:

46612 = 2² × 43¹ × 271¹

Step-2: 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-3: Factors of 46612

List of positive integer factors of 46612 that divides 46612 without a remainder.

1, 2, 4, 43, 86, 172, 271, 542, 1084, 11653, 23306

Step-4: Factors of 46632

List of positive integer factors of 46632 that divides 46612 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46612 and 46632. The biggest common factor number is the GCF number.
So the greatest common factor 46612 and 46632 is 4.

Also check out the Least Common Multiple of 46612 and 46632