What is the Greatest Common Factor of 76769 and 76780?

Greatest common factor (GCF) of 76769 and 76780 is 11.

GCF(76769,76780) = 11

We will now calculate the prime factors of 76769 and 76780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76769 and 76780.

How to find the GCF of 76769 and 76780?

We will first find the prime factorization of 76769 and 76780. After we will calculate the factors of 76769 and 76780 and find the biggest common factor number .

Step-1: Prime Factorization of 76769

Prime factors of 76769 are 7, 11, 997. Prime factorization of 76769 in exponential form is:

76769 = 7¹ × 11¹ × 997¹

Step-2: Prime Factorization of 76780

Prime factors of 76780 are 2, 5, 11, 349. Prime factorization of 76780 in exponential form is:

76780 = 2² × 5¹ × 11¹ × 349¹

Step-3: Factors of 76769

List of positive integer factors of 76769 that divides 76769 without a remainder.

1, 7, 11, 77, 997, 6979, 10967

Step-4: Factors of 76780

List of positive integer factors of 76780 that divides 76769 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 349, 698, 1396, 1745, 3490, 3839, 6980, 7678, 15356, 19195, 38390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76769 and 76780. The biggest common factor number is the GCF number.
So the greatest common factor 76769 and 76780 is 11.

Also check out the Least Common Multiple of 76769 and 76780