What is the Greatest Common Factor of 52760 and 52766?

Greatest common factor (GCF) of 52760 and 52766 is 2.

GCF(52760,52766) = 2

We will now calculate the prime factors of 52760 and 52766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52760 and 52766.

How to find the GCF of 52760 and 52766?

We will first find the prime factorization of 52760 and 52766. After we will calculate the factors of 52760 and 52766 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 52766

Prime factors of 52766 are 2, 7, 3769. Prime factorization of 52766 in exponential form is:

52766 = 2¹ × 7¹ × 3769¹

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 52766

List of positive integer factors of 52766 that divides 52760 without a remainder.

1, 2, 7, 14, 3769, 7538, 26383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52760 and 52766. The biggest common factor number is the GCF number.
So the greatest common factor 52760 and 52766 is 2.

Also check out the Least Common Multiple of 52760 and 52766