What is the Greatest Common Factor of 99460 and 99471?

Greatest common factor (GCF) of 99460 and 99471 is 1.

GCF(99460,99471) = 1

We will now calculate the prime factors of 99460 and 99471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99460 and 99471.

How to find the GCF of 99460 and 99471?

We will first find the prime factorization of 99460 and 99471. After we will calculate the factors of 99460 and 99471 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 99471

Prime factors of 99471 are 3, 71, 467. Prime factorization of 99471 in exponential form is:

99471 = 3¹ × 71¹ × 467¹

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 99471

List of positive integer factors of 99471 that divides 99460 without a remainder.

1, 3, 71, 213, 467, 1401, 33157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99460 and 99471. The biggest common factor number is the GCF number.
So the greatest common factor 99460 and 99471 is 1.

Also check out the Least Common Multiple of 99460 and 99471