What is the Greatest Common Factor of 76950 and 76969?

Greatest common factor (GCF) of 76950 and 76969 is 19.

GCF(76950,76969) = 19

We will now calculate the prime factors of 76950 and 76969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76950 and 76969.

How to find the GCF of 76950 and 76969?

We will first find the prime factorization of 76950 and 76969. After we will calculate the factors of 76950 and 76969 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76969

Prime factors of 76969 are 19, 4051. Prime factorization of 76969 in exponential form is:

76969 = 19¹ × 4051¹

Step-3: Factors of 76950

List of positive integer factors of 76950 that divides 76950 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

Step-4: Factors of 76969

List of positive integer factors of 76969 that divides 76950 without a remainder.

1, 19, 4051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76950 and 76969. The biggest common factor number is the GCF number.
So the greatest common factor 76950 and 76969 is 19.

Also check out the Least Common Multiple of 76950 and 76969