What is the Greatest Common Factor of 76945 and 76950?

Greatest common factor (GCF) of 76945 and 76950 is 5.

GCF(76945,76950) = 5

We will now calculate the prime factors of 76945 and 76950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76945 and 76950.

How to find the GCF of 76945 and 76950?

We will first find the prime factorization of 76945 and 76950. After we will calculate the factors of 76945 and 76950 and find the biggest common factor number .

Step-1: Prime Factorization of 76945

Prime factors of 76945 are 5, 11, 1399. Prime factorization of 76945 in exponential form is:

76945 = 5¹ × 11¹ × 1399¹

Step-2: Prime Factorization of 76950

Prime factors of 76950 are 2, 3, 5, 19. Prime factorization of 76950 in exponential form is:

76950 = 2¹ × 3⁴ × 5² × 19¹

Step-3: Factors of 76945

List of positive integer factors of 76945 that divides 76945 without a remainder.

1, 5, 11, 55, 1399, 6995, 15389

Step-4: Factors of 76950

List of positive integer factors of 76950 that divides 76945 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 27, 30, 38, 45, 50, 54, 57, 75, 81, 90, 95, 114, 135, 150, 162, 171, 190, 225, 270, 285, 342, 405, 450, 475, 513, 570, 675, 810, 855, 950, 1026, 1350, 1425, 1539, 1710, 2025, 2565, 2850, 3078, 4050, 4275, 5130, 7695, 8550, 12825, 15390, 25650, 38475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76945 and 76950. The biggest common factor number is the GCF number.
So the greatest common factor 76945 and 76950 is 5.

Also check out the Least Common Multiple of 76945 and 76950