What is the Greatest Common Factor of 52680 and 52699?

Greatest common factor (GCF) of 52680 and 52699 is 1.

GCF(52680,52699) = 1

We will now calculate the prime factors of 52680 and 52699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52680 and 52699.

How to find the GCF of 52680 and 52699?

We will first find the prime factorization of 52680 and 52699. After we will calculate the factors of 52680 and 52699 and find the biggest common factor number .

Step-1: Prime Factorization of 52680

Prime factors of 52680 are 2, 3, 5, 439. Prime factorization of 52680 in exponential form is:

52680 = 2³ × 3¹ × 5¹ × 439¹

Step-2: Prime Factorization of 52699

Prime factors of 52699 are 151, 349. Prime factorization of 52699 in exponential form is:

52699 = 151¹ × 349¹

Step-3: Factors of 52680

List of positive integer factors of 52680 that divides 52680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 439, 878, 1317, 1756, 2195, 2634, 3512, 4390, 5268, 6585, 8780, 10536, 13170, 17560, 26340

Step-4: Factors of 52699

List of positive integer factors of 52699 that divides 52680 without a remainder.

1, 151, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52680 and 52699. The biggest common factor number is the GCF number.
So the greatest common factor 52680 and 52699 is 1.

Also check out the Least Common Multiple of 52680 and 52699