What is the Greatest Common Factor of 46620 and 46628?

Greatest common factor (GCF) of 46620 and 46628 is 4.

GCF(46620,46628) = 4

We will now calculate the prime factors of 46620 and 46628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46620 and 46628.

How to find the GCF of 46620 and 46628?

We will first find the prime factorization of 46620 and 46628. After we will calculate the factors of 46620 and 46628 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 46628

Prime factors of 46628 are 2, 11657. Prime factorization of 46628 in exponential form is:

46628 = 2² × 11657¹

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 46628

List of positive integer factors of 46628 that divides 46620 without a remainder.

1, 2, 4, 11657, 23314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46620 and 46628. The biggest common factor number is the GCF number.
So the greatest common factor 46620 and 46628 is 4.

Also check out the Least Common Multiple of 46620 and 46628