What is the Greatest Common Factor of 61920 and 61929?

Greatest common factor (GCF) of 61920 and 61929 is 9.

GCF(61920,61929) = 9

We will now calculate the prime factors of 61920 and 61929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61920 and 61929.

How to find the GCF of 61920 and 61929?

We will first find the prime factorization of 61920 and 61929. After we will calculate the factors of 61920 and 61929 and find the biggest common factor number .

Step-1: Prime Factorization of 61920

Prime factors of 61920 are 2, 3, 5, 43. Prime factorization of 61920 in exponential form is:

61920 = 2⁵ × 3² × 5¹ × 43¹

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 61920

List of positive integer factors of 61920 that divides 61920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 43, 45, 48, 60, 72, 80, 86, 90, 96, 120, 129, 144, 160, 172, 180, 215, 240, 258, 288, 344, 360, 387, 430, 480, 516, 645, 688, 720, 774, 860, 1032, 1290, 1376, 1440, 1548, 1720, 1935, 2064, 2580, 3096, 3440, 3870, 4128, 5160, 6192, 6880, 7740, 10320, 12384, 15480, 20640, 30960

Step-4: Factors of 61929

List of positive integer factors of 61929 that divides 61920 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 61920 and 61929. The biggest common factor number is the GCF number.
So the greatest common factor 61920 and 61929 is 9.

Also check out the Least Common Multiple of 61920 and 61929