What is the Greatest Common Factor of 99460 and 99474?

Greatest common factor (GCF) of 99460 and 99474 is 2.

GCF(99460,99474) = 2

We will now calculate the prime factors of 99460 and 99474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99460 and 99474.

How to find the GCF of 99460 and 99474?

We will first find the prime factorization of 99460 and 99474. After we will calculate the factors of 99460 and 99474 and find the biggest common factor number .

Step-1: Prime Factorization of 99460

Prime factors of 99460 are 2, 5, 4973. Prime factorization of 99460 in exponential form is:

99460 = 2² × 5¹ × 4973¹

Step-2: Prime Factorization of 99474

Prime factors of 99474 are 2, 3, 59, 281. Prime factorization of 99474 in exponential form is:

99474 = 2¹ × 3¹ × 59¹ × 281¹

Step-3: Factors of 99460

List of positive integer factors of 99460 that divides 99460 without a remainder.

1, 2, 4, 5, 10, 20, 4973, 9946, 19892, 24865, 49730

Step-4: Factors of 99474

List of positive integer factors of 99474 that divides 99460 without a remainder.

1, 2, 3, 6, 59, 118, 177, 281, 354, 562, 843, 1686, 16579, 33158, 49737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99460 and 99474. The biggest common factor number is the GCF number.
So the greatest common factor 99460 and 99474 is 2.

Also check out the Least Common Multiple of 99460 and 99474