What is the Greatest Common Factor of 53889 and 53907?

Greatest common factor (GCF) of 53889 and 53907 is 3.

GCF(53889,53907) = 3

We will now calculate the prime factors of 53889 and 53907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53889 and 53907.

How to find the GCF of 53889 and 53907?

We will first find the prime factorization of 53889 and 53907. After we will calculate the factors of 53889 and 53907 and find the biggest common factor number .

Step-1: Prime Factorization of 53889

Prime factors of 53889 are 3, 11, 23, 71. Prime factorization of 53889 in exponential form is:

53889 = 3¹ × 11¹ × 23¹ × 71¹

Step-2: Prime Factorization of 53907

Prime factors of 53907 are 3, 7, 17, 151. Prime factorization of 53907 in exponential form is:

53907 = 3¹ × 7¹ × 17¹ × 151¹

Step-3: Factors of 53889

List of positive integer factors of 53889 that divides 53889 without a remainder.

1, 3, 11, 23, 33, 69, 71, 213, 253, 759, 781, 1633, 2343, 4899, 17963

Step-4: Factors of 53907

List of positive integer factors of 53907 that divides 53889 without a remainder.

1, 3, 7, 17, 21, 51, 119, 151, 357, 453, 1057, 2567, 3171, 7701, 17969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53889 and 53907. The biggest common factor number is the GCF number.
So the greatest common factor 53889 and 53907 is 3.

Also check out the Least Common Multiple of 53889 and 53907