What is the Greatest Common Factor of 52760 and 52765?

Greatest common factor (GCF) of 52760 and 52765 is 5.

GCF(52760,52765) = 5

We will now calculate the prime factors of 52760 and 52765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52760 and 52765.

How to find the GCF of 52760 and 52765?

We will first find the prime factorization of 52760 and 52765. After we will calculate the factors of 52760 and 52765 and find the biggest common factor number .

Step-1: Prime Factorization of 52760

Prime factors of 52760 are 2, 5, 1319. Prime factorization of 52760 in exponential form is:

52760 = 2³ × 5¹ × 1319¹

Step-2: Prime Factorization of 52765

Prime factors of 52765 are 5, 61, 173. Prime factorization of 52765 in exponential form is:

52765 = 5¹ × 61¹ × 173¹

Step-3: Factors of 52760

List of positive integer factors of 52760 that divides 52760 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1319, 2638, 5276, 6595, 10552, 13190, 26380

Step-4: Factors of 52765

List of positive integer factors of 52765 that divides 52760 without a remainder.

1, 5, 61, 173, 305, 865, 10553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52760 and 52765. The biggest common factor number is the GCF number.
So the greatest common factor 52760 and 52765 is 5.

Also check out the Least Common Multiple of 52760 and 52765