What is the Greatest Common Factor of 46608 and 46620?

Greatest common factor (GCF) of 46608 and 46620 is 12.

GCF(46608,46620) = 12

We will now calculate the prime factors of 46608 and 46620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46608 and 46620.

How to find the GCF of 46608 and 46620?

We will first find the prime factorization of 46608 and 46620. After we will calculate the factors of 46608 and 46620 and find the biggest common factor number .

Step-1: Prime Factorization of 46608

Prime factors of 46608 are 2, 3, 971. Prime factorization of 46608 in exponential form is:

46608 = 2⁴ × 3¹ × 971¹

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 46608

List of positive integer factors of 46608 that divides 46608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 971, 1942, 2913, 3884, 5826, 7768, 11652, 15536, 23304

Step-4: Factors of 46620

List of positive integer factors of 46620 that divides 46608 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 46608 and 46620. The biggest common factor number is the GCF number.
So the greatest common factor 46608 and 46620 is 12.

Also check out the Least Common Multiple of 46608 and 46620