What is the Greatest Common Factor of 92750 and 92770?

Greatest common factor (GCF) of 92750 and 92770 is 10.

GCF(92750,92770) = 10

We will now calculate the prime factors of 92750 and 92770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92750 and 92770.

How to find the GCF of 92750 and 92770?

We will first find the prime factorization of 92750 and 92770. After we will calculate the factors of 92750 and 92770 and find the biggest common factor number .

Step-1: Prime Factorization of 92750

Prime factors of 92750 are 2, 5, 7, 53. Prime factorization of 92750 in exponential form is:

92750 = 2¹ × 5³ × 7¹ × 53¹

Step-2: Prime Factorization of 92770

Prime factors of 92770 are 2, 5, 9277. Prime factorization of 92770 in exponential form is:

92770 = 2¹ × 5¹ × 9277¹

Step-3: Factors of 92750

List of positive integer factors of 92750 that divides 92750 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 53, 70, 106, 125, 175, 250, 265, 350, 371, 530, 742, 875, 1325, 1750, 1855, 2650, 3710, 6625, 9275, 13250, 18550, 46375

Step-4: Factors of 92770

List of positive integer factors of 92770 that divides 92750 without a remainder.

1, 2, 5, 10, 9277, 18554, 46385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92750 and 92770. The biggest common factor number is the GCF number.
So the greatest common factor 92750 and 92770 is 10.

Also check out the Least Common Multiple of 92750 and 92770