What is the Greatest Common Factor of 21098 and 21112?

Greatest common factor (GCF) of 21098 and 21112 is 14.

GCF(21098,21112) = 14

We will now calculate the prime factors of 21098 and 21112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21098 and 21112.

How to find the GCF of 21098 and 21112?

We will first find the prime factorization of 21098 and 21112. After we will calculate the factors of 21098 and 21112 and find the biggest common factor number .

Step-1: Prime Factorization of 21098

Prime factors of 21098 are 2, 7, 11, 137. Prime factorization of 21098 in exponential form is:

21098 = 2¹ × 7¹ × 11¹ × 137¹

Step-2: Prime Factorization of 21112

Prime factors of 21112 are 2, 7, 13, 29. Prime factorization of 21112 in exponential form is:

21112 = 2³ × 7¹ × 13¹ × 29¹

Step-3: Factors of 21098

List of positive integer factors of 21098 that divides 21098 without a remainder.

1, 2, 7, 11, 14, 22, 77, 137, 154, 274, 959, 1507, 1918, 3014, 10549

Step-4: Factors of 21112

List of positive integer factors of 21112 that divides 21098 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 29, 52, 56, 58, 91, 104, 116, 182, 203, 232, 364, 377, 406, 728, 754, 812, 1508, 1624, 2639, 3016, 5278, 10556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21098 and 21112. The biggest common factor number is the GCF number.
So the greatest common factor 21098 and 21112 is 14.

Also check out the Least Common Multiple of 21098 and 21112