What is the Greatest Common Factor of 53890 and 53907?

Greatest common factor (GCF) of 53890 and 53907 is 17.

GCF(53890,53907) = 17

We will now calculate the prime factors of 53890 and 53907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53890 and 53907.

How to find the GCF of 53890 and 53907?

We will first find the prime factorization of 53890 and 53907. After we will calculate the factors of 53890 and 53907 and find the biggest common factor number .

Step-1: Prime Factorization of 53890

Prime factors of 53890 are 2, 5, 17, 317. Prime factorization of 53890 in exponential form is:

53890 = 2¹ × 5¹ × 17¹ × 317¹

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 53890

List of positive integer factors of 53890 that divides 53890 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 317, 634, 1585, 3170, 5389, 10778, 26945

Step-4: Factors of 53907

List of positive integer factors of 53907 that divides 53890 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 53890 and 53907. The biggest common factor number is the GCF number.
So the greatest common factor 53890 and 53907 is 17.

Also check out the Least Common Multiple of 53890 and 53907