What is the Greatest Common Factor of 76950 and 76970?

Greatest common factor (GCF) of 76950 and 76970 is 10.

GCF(76950,76970) = 10

We will now calculate the prime factors of 76950 and 76970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76950 and 76970.

How to find the GCF of 76950 and 76970?

We will first find the prime factorization of 76950 and 76970. After we will calculate the factors of 76950 and 76970 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 76970

Prime factors of 76970 are 2, 5, 43, 179. Prime factorization of 76970 in exponential form is:

76970 = 2¹ × 5¹ × 43¹ × 179¹

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 76970

List of positive integer factors of 76970 that divides 76950 without a remainder.

1, 2, 5, 10, 43, 86, 179, 215, 358, 430, 895, 1790, 7697, 15394, 38485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76950 and 76970. The biggest common factor number is the GCF number.
So the greatest common factor 76950 and 76970 is 10.

Also check out the Least Common Multiple of 76950 and 76970