What is the Greatest Common Factor of 78750 and 78770?

Greatest common factor (GCF) of 78750 and 78770 is 10.

GCF(78750,78770) = 10

We will now calculate the prime factors of 78750 and 78770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78750 and 78770.

How to find the GCF of 78750 and 78770?

We will first find the prime factorization of 78750 and 78770. After we will calculate the factors of 78750 and 78770 and find the biggest common factor number .

Step-1: Prime Factorization of 78750

Prime factors of 78750 are 2, 3, 5, 7. Prime factorization of 78750 in exponential form is:

78750 = 2¹ × 3² × 5⁴ × 7¹

Step-2: Prime Factorization of 78770

Prime factors of 78770 are 2, 5, 7877. Prime factorization of 78770 in exponential form is:

78770 = 2¹ × 5¹ × 7877¹

Step-3: Factors of 78750

List of positive integer factors of 78750 that divides 78750 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 125, 126, 150, 175, 210, 225, 250, 315, 350, 375, 450, 525, 625, 630, 750, 875, 1050, 1125, 1250, 1575, 1750, 1875, 2250, 2625, 3150, 3750, 4375, 5250, 5625, 7875, 8750, 11250, 13125, 15750, 26250, 39375

Step-4: Factors of 78770

List of positive integer factors of 78770 that divides 78750 without a remainder.

1, 2, 5, 10, 7877, 15754, 39385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78750 and 78770. The biggest common factor number is the GCF number.
So the greatest common factor 78750 and 78770 is 10.

Also check out the Least Common Multiple of 78750 and 78770