What is the Greatest Common Factor of 46604 and 46624?

Greatest common factor (GCF) of 46604 and 46624 is 4.

GCF(46604,46624) = 4

We will now calculate the prime factors of 46604 and 46624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46604 and 46624.

How to find the GCF of 46604 and 46624?

We will first find the prime factorization of 46604 and 46624. After we will calculate the factors of 46604 and 46624 and find the biggest common factor number .

Step-1: Prime Factorization of 46604

Prime factors of 46604 are 2, 61, 191. Prime factorization of 46604 in exponential form is:

46604 = 2² × 61¹ × 191¹

Step-2: 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-3: Factors of 46604

List of positive integer factors of 46604 that divides 46604 without a remainder.

1, 2, 4, 61, 122, 191, 244, 382, 764, 11651, 23302

Step-4: Factors of 46624

List of positive integer factors of 46624 that divides 46604 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46604 and 46624. The biggest common factor number is the GCF number.
So the greatest common factor 46604 and 46624 is 4.

Also check out the Least Common Multiple of 46604 and 46624