What is the Greatest Common Factor of 46640 and 46651?

Greatest common factor (GCF) of 46640 and 46651 is 11.

GCF(46640,46651) = 11

We will now calculate the prime factors of 46640 and 46651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46640 and 46651.

How to find the GCF of 46640 and 46651?

We will first find the prime factorization of 46640 and 46651. After we will calculate the factors of 46640 and 46651 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46651

Prime factors of 46651 are 11, 4241. Prime factorization of 46651 in exponential form is:

46651 = 11¹ × 4241¹

Step-3: Factors of 46640

List of positive integer factors of 46640 that divides 46640 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

Step-4: Factors of 46651

List of positive integer factors of 46651 that divides 46640 without a remainder.

1, 11, 4241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46640 and 46651. The biggest common factor number is the GCF number.
So the greatest common factor 46640 and 46651 is 11.

Also check out the Least Common Multiple of 46640 and 46651