What is the Greatest Common Factor of 46606 and 46620?

Greatest common factor (GCF) of 46606 and 46620 is 14.

GCF(46606,46620) = 14

We will now calculate the prime factors of 46606 and 46620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46606 and 46620.

How to find the GCF of 46606 and 46620?

We will first find the prime factorization of 46606 and 46620. After we will calculate the factors of 46606 and 46620 and find the biggest common factor number .

Step-1: Prime Factorization of 46606

Prime factors of 46606 are 2, 7, 3329. Prime factorization of 46606 in exponential form is:

46606 = 2¹ × 7¹ × 3329¹

Step-2: 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-3: Factors of 46606

List of positive integer factors of 46606 that divides 46606 without a remainder.

1, 2, 7, 14, 3329, 6658, 23303

Step-4: Factors of 46620

List of positive integer factors of 46620 that divides 46606 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46606 and 46620. The biggest common factor number is the GCF number.
So the greatest common factor 46606 and 46620 is 14.

Also check out the Least Common Multiple of 46606 and 46620