What is the Greatest Common Factor of 46620 and 46634?

Greatest common factor (GCF) of 46620 and 46634 is 14.

GCF(46620,46634) = 14

We will now calculate the prime factors of 46620 and 46634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46620 and 46634.

How to find the GCF of 46620 and 46634?

We will first find the prime factorization of 46620 and 46634. After we will calculate the factors of 46620 and 46634 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 46634

Prime factors of 46634 are 2, 7, 3331. Prime factorization of 46634 in exponential form is:

46634 = 2¹ × 7¹ × 3331¹

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 46634

List of positive integer factors of 46634 that divides 46620 without a remainder.

1, 2, 7, 14, 3331, 6662, 23317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46620 and 46634. The biggest common factor number is the GCF number.
So the greatest common factor 46620 and 46634 is 14.

Also check out the Least Common Multiple of 46620 and 46634