What is the Greatest Common Factor of 53459 and 53466?

Greatest common factor (GCF) of 53459 and 53466 is 7.

GCF(53459,53466) = 7

We will now calculate the prime factors of 53459 and 53466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53459 and 53466.

How to find the GCF of 53459 and 53466?

We will first find the prime factorization of 53459 and 53466. After we will calculate the factors of 53459 and 53466 and find the biggest common factor number .

Step-1: Prime Factorization of 53459

Prime factors of 53459 are 7, 1091. Prime factorization of 53459 in exponential form is:

53459 = 7² × 1091¹

Step-2: Prime Factorization of 53466

Prime factors of 53466 are 2, 3, 7, 19, 67. Prime factorization of 53466 in exponential form is:

53466 = 2¹ × 3¹ × 7¹ × 19¹ × 67¹

Step-3: Factors of 53459

List of positive integer factors of 53459 that divides 53459 without a remainder.

1, 7, 49, 1091, 7637

Step-4: Factors of 53466

List of positive integer factors of 53466 that divides 53459 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 67, 114, 133, 134, 201, 266, 399, 402, 469, 798, 938, 1273, 1407, 2546, 2814, 3819, 7638, 8911, 17822, 26733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53459 and 53466. The biggest common factor number is the GCF number.
So the greatest common factor 53459 and 53466 is 7.

Also check out the Least Common Multiple of 53459 and 53466