What is the Greatest Common Factor of 76905 and 76920?

Greatest common factor (GCF) of 76905 and 76920 is 15.

GCF(76905,76920) = 15

We will now calculate the prime factors of 76905 and 76920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76905 and 76920.

How to find the GCF of 76905 and 76920?

We will first find the prime factorization of 76905 and 76920. After we will calculate the factors of 76905 and 76920 and find the biggest common factor number .

Step-1: Prime Factorization of 76905

Prime factors of 76905 are 3, 5, 1709. Prime factorization of 76905 in exponential form is:

76905 = 3² × 5¹ × 1709¹

Step-2: Prime Factorization of 76920

Prime factors of 76920 are 2, 3, 5, 641. Prime factorization of 76920 in exponential form is:

76920 = 2³ × 3¹ × 5¹ × 641¹

Step-3: Factors of 76905

List of positive integer factors of 76905 that divides 76905 without a remainder.

1, 3, 5, 9, 15, 45, 1709, 5127, 8545, 15381, 25635

Step-4: Factors of 76920

List of positive integer factors of 76920 that divides 76905 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 641, 1282, 1923, 2564, 3205, 3846, 5128, 6410, 7692, 9615, 12820, 15384, 19230, 25640, 38460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76905 and 76920. The biggest common factor number is the GCF number.
So the greatest common factor 76905 and 76920 is 15.

Also check out the Least Common Multiple of 76905 and 76920