What is the Greatest Common Factor of 52986 and 53005?

Greatest common factor (GCF) of 52986 and 53005 is 1.

GCF(52986,53005) = 1

We will now calculate the prime factors of 52986 and 53005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52986 and 53005.

How to find the GCF of 52986 and 53005?

We will first find the prime factorization of 52986 and 53005. After we will calculate the factors of 52986 and 53005 and find the biggest common factor number .

Step-1: Prime Factorization of 52986

Prime factors of 52986 are 2, 3, 8831. Prime factorization of 52986 in exponential form is:

52986 = 2¹ × 3¹ × 8831¹

Step-2: Prime Factorization of 53005

Prime factors of 53005 are 5, 10601. Prime factorization of 53005 in exponential form is:

53005 = 5¹ × 10601¹

Step-3: Factors of 52986

List of positive integer factors of 52986 that divides 52986 without a remainder.

1, 2, 3, 6, 8831, 17662, 26493

Step-4: Factors of 53005

List of positive integer factors of 53005 that divides 52986 without a remainder.

1, 5, 10601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52986 and 53005. The biggest common factor number is the GCF number.
So the greatest common factor 52986 and 53005 is 1.

Also check out the Least Common Multiple of 52986 and 53005