What is the Greatest Common Factor of 77350 and 77363?

Greatest common factor (GCF) of 77350 and 77363 is 13.

GCF(77350,77363) = 13

We will now calculate the prime factors of 77350 and 77363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77350 and 77363.

How to find the GCF of 77350 and 77363?

We will first find the prime factorization of 77350 and 77363. After we will calculate the factors of 77350 and 77363 and find the biggest common factor number .

Step-1: Prime Factorization of 77350

Prime factors of 77350 are 2, 5, 7, 13, 17. Prime factorization of 77350 in exponential form is:

77350 = 2¹ × 5² × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 77363

Prime factors of 77363 are 11, 13, 541. Prime factorization of 77363 in exponential form is:

77363 = 11¹ × 13¹ × 541¹

Step-3: Factors of 77350

List of positive integer factors of 77350 that divides 77350 without a remainder.

1, 2, 5, 7, 10, 13, 14, 17, 25, 26, 34, 35, 50, 65, 70, 85, 91, 119, 130, 170, 175, 182, 221, 238, 325, 350, 425, 442, 455, 595, 650, 850, 910, 1105, 1190, 1547, 2210, 2275, 2975, 3094, 4550, 5525, 5950, 7735, 11050, 15470, 38675

Step-4: Factors of 77363

List of positive integer factors of 77363 that divides 77350 without a remainder.

1, 11, 13, 143, 541, 5951, 7033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77350 and 77363. The biggest common factor number is the GCF number.
So the greatest common factor 77350 and 77363 is 13.

Also check out the Least Common Multiple of 77350 and 77363