What is the Greatest Common Factor of 46624 and 46629?

Greatest common factor (GCF) of 46624 and 46629 is 1.

GCF(46624,46629) = 1

We will now calculate the prime factors of 46624 and 46629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46624 and 46629.

How to find the GCF of 46624 and 46629?

We will first find the prime factorization of 46624 and 46629. After we will calculate the factors of 46624 and 46629 and find the biggest common factor number .

Step-1: Prime Factorization of 46624

Prime factors of 46624 are 2, 31, 47. Prime factorization of 46624 in exponential form is:

46624 = 2⁵ × 31¹ × 47¹

Step-2: Prime Factorization of 46629

Prime factors of 46629 are 3, 11, 157. Prime factorization of 46629 in exponential form is:

46629 = 3³ × 11¹ × 157¹

Step-3: Factors of 46624

List of positive integer factors of 46624 that divides 46624 without a remainder.

1, 2, 4, 8, 16, 31, 32, 47, 62, 94, 124, 188, 248, 376, 496, 752, 992, 1457, 1504, 2914, 5828, 11656, 23312

Step-4: Factors of 46629

List of positive integer factors of 46629 that divides 46624 without a remainder.

1, 3, 9, 11, 27, 33, 99, 157, 297, 471, 1413, 1727, 4239, 5181, 15543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46624 and 46629. The biggest common factor number is the GCF number.
So the greatest common factor 46624 and 46629 is 1.

Also check out the Least Common Multiple of 46624 and 46629