What is the Greatest Common Factor of 53460 and 53470?

Greatest common factor (GCF) of 53460 and 53470 is 10.

GCF(53460,53470) = 10

We will now calculate the prime factors of 53460 and 53470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53460 and 53470.

How to find the GCF of 53460 and 53470?

We will first find the prime factorization of 53460 and 53470. After we will calculate the factors of 53460 and 53470 and find the biggest common factor number .

Step-1: Prime Factorization of 53460

Prime factors of 53460 are 2, 3, 5, 11. Prime factorization of 53460 in exponential form is:

53460 = 2² × 3⁵ × 5¹ × 11¹

Step-2: Prime Factorization of 53470

Prime factors of 53470 are 2, 5, 5347. Prime factorization of 53470 in exponential form is:

53470 = 2¹ × 5¹ × 5347¹

Step-3: Factors of 53460

List of positive integer factors of 53460 that divides 53460 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 81, 90, 99, 108, 110, 132, 135, 162, 165, 180, 198, 220, 243, 270, 297, 324, 330, 396, 405, 486, 495, 540, 594, 660, 810, 891, 972, 990, 1188, 1215, 1485, 1620, 1782, 1980, 2430, 2673, 2970, 3564, 4455, 4860, 5346, 5940, 8910, 10692, 13365, 17820, 26730

Step-4: Factors of 53470

List of positive integer factors of 53470 that divides 53460 without a remainder.

1, 2, 5, 10, 5347, 10694, 26735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53460 and 53470. The biggest common factor number is the GCF number.
So the greatest common factor 53460 and 53470 is 10.

Also check out the Least Common Multiple of 53460 and 53470