What is the Greatest Common Factor of 21350 and 21360?

Greatest common factor (GCF) of 21350 and 21360 is 10.

GCF(21350,21360) = 10

We will now calculate the prime factors of 21350 and 21360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21350 and 21360.

How to find the GCF of 21350 and 21360?

We will first find the prime factorization of 21350 and 21360. After we will calculate the factors of 21350 and 21360 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 21360

Prime factors of 21360 are 2, 3, 5, 89. Prime factorization of 21360 in exponential form is:

21360 = 2⁴ × 3¹ × 5¹ × 89¹

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 21360

List of positive integer factors of 21360 that divides 21350 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 89, 120, 178, 240, 267, 356, 445, 534, 712, 890, 1068, 1335, 1424, 1780, 2136, 2670, 3560, 4272, 5340, 7120, 10680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21350 and 21360. The biggest common factor number is the GCF number.
So the greatest common factor 21350 and 21360 is 10.

Also check out the Least Common Multiple of 21350 and 21360