What is the Greatest Common Factor of 61929 and 61935?

Greatest common factor (GCF) of 61929 and 61935 is 3.

GCF(61929,61935) = 3

We will now calculate the prime factors of 61929 and 61935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61929 and 61935.

How to find the GCF of 61929 and 61935?

We will first find the prime factorization of 61929 and 61935. After we will calculate the factors of 61929 and 61935 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61935

Prime factors of 61935 are 3, 5, 4129. Prime factorization of 61935 in exponential form is:

61935 = 3¹ × 5¹ × 4129¹

Step-3: Factors of 61929

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

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

Step-4: Factors of 61935

List of positive integer factors of 61935 that divides 61929 without a remainder.

1, 3, 5, 15, 4129, 12387, 20645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61929 and 61935. The biggest common factor number is the GCF number.
So the greatest common factor 61929 and 61935 is 3.

Also check out the Least Common Multiple of 61929 and 61935