What is the Greatest Common Factor of 46634 and 46640?

Greatest common factor (GCF) of 46634 and 46640 is 2.

GCF(46634,46640) = 2

We will now calculate the prime factors of 46634 and 46640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46634 and 46640.

How to find the GCF of 46634 and 46640?

We will first find the prime factorization of 46634 and 46640. After we will calculate the factors of 46634 and 46640 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46640

Prime factors of 46640 are 2, 5, 11, 53. Prime factorization of 46640 in exponential form is:

46640 = 2⁴ × 5¹ × 11¹ × 53¹

Step-3: Factors of 46634

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

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

Step-4: Factors of 46640

List of positive integer factors of 46640 that divides 46634 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 53, 55, 80, 88, 106, 110, 176, 212, 220, 265, 424, 440, 530, 583, 848, 880, 1060, 1166, 2120, 2332, 2915, 4240, 4664, 5830, 9328, 11660, 23320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46634 and 46640. The biggest common factor number is the GCF number.
So the greatest common factor 46634 and 46640 is 2.

Also check out the Least Common Multiple of 46634 and 46640