What is the Greatest Common Factor of 21350 and 21370?

Greatest common factor (GCF) of 21350 and 21370 is 10.

GCF(21350,21370) = 10

We will now calculate the prime factors of 21350 and 21370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21350 and 21370.

How to find the GCF of 21350 and 21370?

We will first find the prime factorization of 21350 and 21370. After we will calculate the factors of 21350 and 21370 and find the biggest common factor number .

Step-1: Prime Factorization of 21350

Prime factors of 21350 are 2, 5, 7, 61. Prime factorization of 21350 in exponential form is:

21350 = 2¹ × 5² × 7¹ × 61¹

Step-2: Prime Factorization of 21370

Prime factors of 21370 are 2, 5, 2137. Prime factorization of 21370 in exponential form is:

21370 = 2¹ × 5¹ × 2137¹

Step-3: Factors of 21350

List of positive integer factors of 21350 that divides 21350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 61, 70, 122, 175, 305, 350, 427, 610, 854, 1525, 2135, 3050, 4270, 10675

Step-4: Factors of 21370

List of positive integer factors of 21370 that divides 21350 without a remainder.

1, 2, 5, 10, 2137, 4274, 10685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21350 and 21370. The biggest common factor number is the GCF number.
So the greatest common factor 21350 and 21370 is 10.

Also check out the Least Common Multiple of 21350 and 21370