What is the Greatest Common Factor of 21462 and 21472?

Greatest common factor (GCF) of 21462 and 21472 is 2.

GCF(21462,21472) = 2

We will now calculate the prime factors of 21462 and 21472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21462 and 21472.

How to find the GCF of 21462 and 21472?

We will first find the prime factorization of 21462 and 21472. After we will calculate the factors of 21462 and 21472 and find the biggest common factor number .

Step-1: Prime Factorization of 21462

Prime factors of 21462 are 2, 3, 7, 73. Prime factorization of 21462 in exponential form is:

21462 = 2¹ × 3¹ × 7² × 73¹

Step-2: Prime Factorization of 21472

Prime factors of 21472 are 2, 11, 61. Prime factorization of 21472 in exponential form is:

21472 = 2⁵ × 11¹ × 61¹

Step-3: Factors of 21462

List of positive integer factors of 21462 that divides 21462 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 73, 98, 146, 147, 219, 294, 438, 511, 1022, 1533, 3066, 3577, 7154, 10731

Step-4: Factors of 21472

List of positive integer factors of 21472 that divides 21462 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 61, 88, 122, 176, 244, 352, 488, 671, 976, 1342, 1952, 2684, 5368, 10736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21462 and 21472. The biggest common factor number is the GCF number.
So the greatest common factor 21462 and 21472 is 2.

Also check out the Least Common Multiple of 21462 and 21472