What is the Greatest Common Factor of 77350 and 77360?

Greatest common factor (GCF) of 77350 and 77360 is 10.

GCF(77350,77360) = 10

We will now calculate the prime factors of 77350 and 77360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77350 and 77360.

How to find the GCF of 77350 and 77360?

We will first find the prime factorization of 77350 and 77360. After we will calculate the factors of 77350 and 77360 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 77360

Prime factors of 77360 are 2, 5, 967. Prime factorization of 77360 in exponential form is:

77360 = 2⁴ × 5¹ × 967¹

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 77360

List of positive integer factors of 77360 that divides 77350 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 967, 1934, 3868, 4835, 7736, 9670, 15472, 19340, 38680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77350 and 77360. The biggest common factor number is the GCF number.
So the greatest common factor 77350 and 77360 is 10.

Also check out the Least Common Multiple of 77350 and 77360