What is the Greatest Common Factor of 46620 and 46632?

Greatest common factor (GCF) of 46620 and 46632 is 12.

GCF(46620,46632) = 12

We will now calculate the prime factors of 46620 and 46632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46620 and 46632.

How to find the GCF of 46620 and 46632?

We will first find the prime factorization of 46620 and 46632. After we will calculate the factors of 46620 and 46632 and find the biggest common factor number .

Step-1: Prime Factorization of 46620

Prime factors of 46620 are 2, 3, 5, 7, 37. Prime factorization of 46620 in exponential form is:

46620 = 2² × 3² × 5¹ × 7¹ × 37¹

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 46620

List of positive integer factors of 46620 that divides 46620 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 37, 42, 45, 60, 63, 70, 74, 84, 90, 105, 111, 126, 140, 148, 180, 185, 210, 222, 252, 259, 315, 333, 370, 420, 444, 518, 555, 630, 666, 740, 777, 1036, 1110, 1260, 1295, 1332, 1554, 1665, 2220, 2331, 2590, 3108, 3330, 3885, 4662, 5180, 6660, 7770, 9324, 11655, 15540, 23310

Step-4: Factors of 46632

List of positive integer factors of 46632 that divides 46620 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 46620 and 46632. The biggest common factor number is the GCF number.
So the greatest common factor 46620 and 46632 is 12.

Also check out the Least Common Multiple of 46620 and 46632