What is the Greatest Common Factor of 99476 and 99490?

Greatest common factor (GCF) of 99476 and 99490 is 2.

GCF(99476,99490) = 2

We will now calculate the prime factors of 99476 and 99490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99476 and 99490.

How to find the GCF of 99476 and 99490?

We will first find the prime factorization of 99476 and 99490. After we will calculate the factors of 99476 and 99490 and find the biggest common factor number .

Step-1: Prime Factorization of 99476

Prime factors of 99476 are 2, 13, 1913. Prime factorization of 99476 in exponential form is:

99476 = 2² × 13¹ × 1913¹

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 99476

List of positive integer factors of 99476 that divides 99476 without a remainder.

1, 2, 4, 13, 26, 52, 1913, 3826, 7652, 24869, 49738

Step-4: Factors of 99490

List of positive integer factors of 99490 that divides 99476 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99476 and 99490. The biggest common factor number is the GCF number.
So the greatest common factor 99476 and 99490 is 2.

Also check out the Least Common Multiple of 99476 and 99490