What is the Greatest Common Factor of 21462 and 21470?

Greatest common factor (GCF) of 21462 and 21470 is 2.

GCF(21462,21470) = 2

We will now calculate the prime factors of 21462 and 21470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21462 and 21470.

How to find the GCF of 21462 and 21470?

We will first find the prime factorization of 21462 and 21470. After we will calculate the factors of 21462 and 21470 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 21470

Prime factors of 21470 are 2, 5, 19, 113. Prime factorization of 21470 in exponential form is:

21470 = 2¹ × 5¹ × 19¹ × 113¹

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 21470

List of positive integer factors of 21470 that divides 21462 without a remainder.

1, 2, 5, 10, 19, 38, 95, 113, 190, 226, 565, 1130, 2147, 4294, 10735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21462 and 21470. The biggest common factor number is the GCF number.
So the greatest common factor 21462 and 21470 is 2.

Also check out the Least Common Multiple of 21462 and 21470