What is the Greatest Common Factor of 46614 and 46624?

Greatest common factor (GCF) of 46614 and 46624 is 2.

GCF(46614,46624) = 2

We will now calculate the prime factors of 46614 and 46624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46614 and 46624.

How to find the GCF of 46614 and 46624?

We will first find the prime factorization of 46614 and 46624. After we will calculate the factors of 46614 and 46624 and find the biggest common factor number .

Step-1: Prime Factorization of 46614

Prime factors of 46614 are 2, 3, 17, 457. Prime factorization of 46614 in exponential form is:

46614 = 2¹ × 3¹ × 17¹ × 457¹

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 46614

List of positive integer factors of 46614 that divides 46614 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 457, 914, 1371, 2742, 7769, 15538, 23307

Step-4: Factors of 46624

List of positive integer factors of 46624 that divides 46614 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 46614 and 46624. The biggest common factor number is the GCF number.
So the greatest common factor 46614 and 46624 is 2.

Also check out the Least Common Multiple of 46614 and 46624