What is the Greatest Common Factor of 52745 and 52760?

Greatest common factor (GCF) of 52745 and 52760 is 5.

GCF(52745,52760) = 5

We will now calculate the prime factors of 52745 and 52760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52745 and 52760.

How to find the GCF of 52745 and 52760?

We will first find the prime factorization of 52745 and 52760. After we will calculate the factors of 52745 and 52760 and find the biggest common factor number .

Step-1: Prime Factorization of 52745

Prime factors of 52745 are 5, 7, 11, 137. Prime factorization of 52745 in exponential form is:

52745 = 5¹ × 7¹ × 11¹ × 137¹

Step-2: 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-3: Factors of 52745

List of positive integer factors of 52745 that divides 52745 without a remainder.

1, 5, 7, 11, 35, 55, 77, 137, 385, 685, 959, 1507, 4795, 7535, 10549

Step-4: Factors of 52760

List of positive integer factors of 52760 that divides 52745 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52745 and 52760. The biggest common factor number is the GCF number.
So the greatest common factor 52745 and 52760 is 5.

Also check out the Least Common Multiple of 52745 and 52760