What is the Greatest Common Factor of 76749 and 76760?

Greatest common factor (GCF) of 76749 and 76760 is 1.

GCF(76749,76760) = 1

We will now calculate the prime factors of 76749 and 76760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76749 and 76760.

How to find the GCF of 76749 and 76760?

We will first find the prime factorization of 76749 and 76760. After we will calculate the factors of 76749 and 76760 and find the biggest common factor number .

Step-1: Prime Factorization of 76749

Prime factors of 76749 are 3, 25583. Prime factorization of 76749 in exponential form is:

76749 = 3¹ × 25583¹

Step-2: Prime Factorization of 76760

Prime factors of 76760 are 2, 5, 19, 101. Prime factorization of 76760 in exponential form is:

76760 = 2³ × 5¹ × 19¹ × 101¹

Step-3: Factors of 76749

List of positive integer factors of 76749 that divides 76749 without a remainder.

1, 3, 25583

Step-4: Factors of 76760

List of positive integer factors of 76760 that divides 76749 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 101, 152, 190, 202, 380, 404, 505, 760, 808, 1010, 1919, 2020, 3838, 4040, 7676, 9595, 15352, 19190, 38380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76749 and 76760. The biggest common factor number is the GCF number.
So the greatest common factor 76749 and 76760 is 1.

Also check out the Least Common Multiple of 76749 and 76760