What is the Greatest Common Factor of 43935 and 43953?

Greatest common factor (GCF) of 43935 and 43953 is 3.

GCF(43935,43953) = 3

We will now calculate the prime factors of 43935 and 43953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43935 and 43953.

How to find the GCF of 43935 and 43953?

We will first find the prime factorization of 43935 and 43953. After we will calculate the factors of 43935 and 43953 and find the biggest common factor number .

Step-1: Prime Factorization of 43935

Prime factors of 43935 are 3, 5, 29, 101. Prime factorization of 43935 in exponential form is:

43935 = 3¹ × 5¹ × 29¹ × 101¹

Step-2: Prime Factorization of 43953

Prime factors of 43953 are 3, 7, 13, 23. Prime factorization of 43953 in exponential form is:

43953 = 3¹ × 7² × 13¹ × 23¹

Step-3: Factors of 43935

List of positive integer factors of 43935 that divides 43935 without a remainder.

1, 3, 5, 15, 29, 87, 101, 145, 303, 435, 505, 1515, 2929, 8787, 14645

Step-4: Factors of 43953

List of positive integer factors of 43953 that divides 43935 without a remainder.

1, 3, 7, 13, 21, 23, 39, 49, 69, 91, 147, 161, 273, 299, 483, 637, 897, 1127, 1911, 2093, 3381, 6279, 14651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43935 and 43953. The biggest common factor number is the GCF number.
So the greatest common factor 43935 and 43953 is 3.

Also check out the Least Common Multiple of 43935 and 43953