What is the Greatest Common Factor of 77246 and 77259?

Greatest common factor (GCF) of 77246 and 77259 is 13.

GCF(77246,77259) = 13

We will now calculate the prime factors of 77246 and 77259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77246 and 77259.

How to find the GCF of 77246 and 77259?

We will first find the prime factorization of 77246 and 77259. After we will calculate the factors of 77246 and 77259 and find the biggest common factor number .

Step-1: Prime Factorization of 77246

Prime factors of 77246 are 2, 13, 2971. Prime factorization of 77246 in exponential form is:

77246 = 2¹ × 13¹ × 2971¹

Step-2: Prime Factorization of 77259

Prime factors of 77259 are 3, 7, 13, 283. Prime factorization of 77259 in exponential form is:

77259 = 3¹ × 7¹ × 13¹ × 283¹

Step-3: Factors of 77246

List of positive integer factors of 77246 that divides 77246 without a remainder.

1, 2, 13, 26, 2971, 5942, 38623

Step-4: Factors of 77259

List of positive integer factors of 77259 that divides 77246 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 283, 849, 1981, 3679, 5943, 11037, 25753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77246 and 77259. The biggest common factor number is the GCF number.
So the greatest common factor 77246 and 77259 is 13.

Also check out the Least Common Multiple of 77246 and 77259