What is the Greatest Common Factor of 76920 and 76935?

Greatest common factor (GCF) of 76920 and 76935 is 15.

GCF(76920,76935) = 15

We will now calculate the prime factors of 76920 and 76935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76920 and 76935.

How to find the GCF of 76920 and 76935?

We will first find the prime factorization of 76920 and 76935. After we will calculate the factors of 76920 and 76935 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76935

Prime factors of 76935 are 3, 5, 23, 223. Prime factorization of 76935 in exponential form is:

76935 = 3¹ × 5¹ × 23¹ × 223¹

Step-3: Factors of 76920

List of positive integer factors of 76920 that divides 76920 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

Step-4: Factors of 76935

List of positive integer factors of 76935 that divides 76920 without a remainder.

1, 3, 5, 15, 23, 69, 115, 223, 345, 669, 1115, 3345, 5129, 15387, 25645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76920 and 76935. The biggest common factor number is the GCF number.
So the greatest common factor 76920 and 76935 is 15.

Also check out the Least Common Multiple of 76920 and 76935