What is the Greatest Common Factor of 76250 and 76270?

Greatest common factor (GCF) of 76250 and 76270 is 10.

GCF(76250,76270) = 10

We will now calculate the prime factors of 76250 and 76270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76250 and 76270.

How to find the GCF of 76250 and 76270?

We will first find the prime factorization of 76250 and 76270. After we will calculate the factors of 76250 and 76270 and find the biggest common factor number .

Step-1: Prime Factorization of 76250

Prime factors of 76250 are 2, 5, 61. Prime factorization of 76250 in exponential form is:

76250 = 2¹ × 5⁴ × 61¹

Step-2: Prime Factorization of 76270

Prime factors of 76270 are 2, 5, 29, 263. Prime factorization of 76270 in exponential form is:

76270 = 2¹ × 5¹ × 29¹ × 263¹

Step-3: Factors of 76250

List of positive integer factors of 76250 that divides 76250 without a remainder.

1, 2, 5, 10, 25, 50, 61, 122, 125, 250, 305, 610, 625, 1250, 1525, 3050, 7625, 15250, 38125

Step-4: Factors of 76270

List of positive integer factors of 76270 that divides 76250 without a remainder.

1, 2, 5, 10, 29, 58, 145, 263, 290, 526, 1315, 2630, 7627, 15254, 38135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76250 and 76270. The biggest common factor number is the GCF number.
So the greatest common factor 76250 and 76270 is 10.

Also check out the Least Common Multiple of 76250 and 76270