What is the Greatest Common Factor of 76920 and 76933?

Greatest common factor (GCF) of 76920 and 76933 is 1.

GCF(76920,76933) = 1

We will now calculate the prime factors of 76920 and 76933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76920 and 76933.

How to find the GCF of 76920 and 76933?

We will first find the prime factorization of 76920 and 76933. After we will calculate the factors of 76920 and 76933 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 76933

Prime factors of 76933 are 107, 719. Prime factorization of 76933 in exponential form is:

76933 = 107¹ × 719¹

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 76933

List of positive integer factors of 76933 that divides 76920 without a remainder.

1, 107, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76920 and 76933. The biggest common factor number is the GCF number.
So the greatest common factor 76920 and 76933 is 1.

Also check out the Least Common Multiple of 76920 and 76933