What is the Greatest Common Factor of 99462 and 99472?

Greatest common factor (GCF) of 99462 and 99472 is 2.

GCF(99462,99472) = 2

We will now calculate the prime factors of 99462 and 99472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99462 and 99472.

How to find the GCF of 99462 and 99472?

We will first find the prime factorization of 99462 and 99472. After we will calculate the factors of 99462 and 99472 and find the biggest common factor number .

Step-1: Prime Factorization of 99462

Prime factors of 99462 are 2, 3, 11, 137. Prime factorization of 99462 in exponential form is:

99462 = 2¹ × 3¹ × 11² × 137¹

Step-2: Prime Factorization of 99472

Prime factors of 99472 are 2, 6217. Prime factorization of 99472 in exponential form is:

99472 = 2⁴ × 6217¹

Step-3: Factors of 99462

List of positive integer factors of 99462 that divides 99462 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 137, 242, 274, 363, 411, 726, 822, 1507, 3014, 4521, 9042, 16577, 33154, 49731

Step-4: Factors of 99472

List of positive integer factors of 99472 that divides 99462 without a remainder.

1, 2, 4, 8, 16, 6217, 12434, 24868, 49736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99462 and 99472. The biggest common factor number is the GCF number.
So the greatest common factor 99462 and 99472 is 2.

Also check out the Least Common Multiple of 99462 and 99472