What is the Greatest Common Factor of 61917 and 61929?

Greatest common factor (GCF) of 61917 and 61929 is 3.

GCF(61917,61929) = 3

We will now calculate the prime factors of 61917 and 61929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61917 and 61929.

How to find the GCF of 61917 and 61929?

We will first find the prime factorization of 61917 and 61929. After we will calculate the factors of 61917 and 61929 and find the biggest common factor number .

Step-1: Prime Factorization of 61917

Prime factors of 61917 are 3, 20639. Prime factorization of 61917 in exponential form is:

61917 = 3¹ × 20639¹

Step-2: Prime Factorization of 61929

Prime factors of 61929 are 3, 7, 983. Prime factorization of 61929 in exponential form is:

61929 = 3² × 7¹ × 983¹

Step-3: Factors of 61917

List of positive integer factors of 61917 that divides 61917 without a remainder.

1, 3, 20639

Step-4: Factors of 61929

List of positive integer factors of 61929 that divides 61917 without a remainder.

1, 3, 7, 9, 21, 63, 983, 2949, 6881, 8847, 20643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61917 and 61929. The biggest common factor number is the GCF number.
So the greatest common factor 61917 and 61929 is 3.

Also check out the Least Common Multiple of 61917 and 61929