What is the Greatest Common Factor of 99050 and 99070?

Greatest common factor (GCF) of 99050 and 99070 is 10.

GCF(99050,99070) = 10

We will now calculate the prime factors of 99050 and 99070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99050 and 99070.

How to find the GCF of 99050 and 99070?

We will first find the prime factorization of 99050 and 99070. After we will calculate the factors of 99050 and 99070 and find the biggest common factor number .

Step-1: Prime Factorization of 99050

Prime factors of 99050 are 2, 5, 7, 283. Prime factorization of 99050 in exponential form is:

99050 = 2¹ × 5² × 7¹ × 283¹

Step-2: Prime Factorization of 99070

Prime factors of 99070 are 2, 5, 9907. Prime factorization of 99070 in exponential form is:

99070 = 2¹ × 5¹ × 9907¹

Step-3: Factors of 99050

List of positive integer factors of 99050 that divides 99050 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 283, 350, 566, 1415, 1981, 2830, 3962, 7075, 9905, 14150, 19810, 49525

Step-4: Factors of 99070

List of positive integer factors of 99070 that divides 99050 without a remainder.

1, 2, 5, 10, 9907, 19814, 49535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99050 and 99070. The biggest common factor number is the GCF number.
So the greatest common factor 99050 and 99070 is 10.

Also check out the Least Common Multiple of 99050 and 99070