What is the Greatest Common Factor of 99470 and 99490?

Greatest common factor (GCF) of 99470 and 99490 is 10.

GCF(99470,99490) = 10

We will now calculate the prime factors of 99470 and 99490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99470 and 99490.

How to find the GCF of 99470 and 99490?

We will first find the prime factorization of 99470 and 99490. After we will calculate the factors of 99470 and 99490 and find the biggest common factor number .

Step-1: Prime Factorization of 99470

Prime factors of 99470 are 2, 5, 7, 29. Prime factorization of 99470 in exponential form is:

99470 = 2¹ × 5¹ × 7³ × 29¹

Step-2: Prime Factorization of 99490

Prime factors of 99490 are 2, 5, 9949. Prime factorization of 99490 in exponential form is:

99490 = 2¹ × 5¹ × 9949¹

Step-3: Factors of 99470

List of positive integer factors of 99470 that divides 99470 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 49, 58, 70, 98, 145, 203, 245, 290, 343, 406, 490, 686, 1015, 1421, 1715, 2030, 2842, 3430, 7105, 9947, 14210, 19894, 49735

Step-4: Factors of 99490

List of positive integer factors of 99490 that divides 99470 without a remainder.

1, 2, 5, 10, 9949, 19898, 49745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99470 and 99490. The biggest common factor number is the GCF number.
So the greatest common factor 99470 and 99490 is 10.

Also check out the Least Common Multiple of 99470 and 99490