What is the Greatest Common Factor of 53909 and 53928?

Greatest common factor (GCF) of 53909 and 53928 is 1.

GCF(53909,53928) = 1

We will now calculate the prime factors of 53909 and 53928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53909 and 53928.

How to find the GCF of 53909 and 53928?

We will first find the prime factorization of 53909 and 53928. After we will calculate the factors of 53909 and 53928 and find the biggest common factor number .

Step-1: Prime Factorization of 53909

Prime factors of 53909 are 31, 37, 47. Prime factorization of 53909 in exponential form is:

53909 = 31¹ × 37¹ × 47¹

Step-2: Prime Factorization of 53928

Prime factors of 53928 are 2, 3, 7, 107. Prime factorization of 53928 in exponential form is:

53928 = 2³ × 3² × 7¹ × 107¹

Step-3: Factors of 53909

List of positive integer factors of 53909 that divides 53909 without a remainder.

1, 31, 37, 47, 1147, 1457, 1739

Step-4: Factors of 53928

List of positive integer factors of 53928 that divides 53909 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 107, 126, 168, 214, 252, 321, 428, 504, 642, 749, 856, 963, 1284, 1498, 1926, 2247, 2568, 2996, 3852, 4494, 5992, 6741, 7704, 8988, 13482, 17976, 26964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53909 and 53928. The biggest common factor number is the GCF number.
So the greatest common factor 53909 and 53928 is 1.

Also check out the Least Common Multiple of 53909 and 53928