What is the Greatest Common Factor of 87549 and 87560?

Greatest common factor (GCF) of 87549 and 87560 is 11.

GCF(87549,87560) = 11

We will now calculate the prime factors of 87549 and 87560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87549 and 87560.

How to find the GCF of 87549 and 87560?

We will first find the prime factorization of 87549 and 87560. After we will calculate the factors of 87549 and 87560 and find the biggest common factor number .

Step-1: Prime Factorization of 87549

Prime factors of 87549 are 3, 7, 11, 379. Prime factorization of 87549 in exponential form is:

87549 = 3¹ × 7¹ × 11¹ × 379¹

Step-2: Prime Factorization of 87560

Prime factors of 87560 are 2, 5, 11, 199. Prime factorization of 87560 in exponential form is:

87560 = 2³ × 5¹ × 11¹ × 199¹

Step-3: Factors of 87549

List of positive integer factors of 87549 that divides 87549 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 379, 1137, 2653, 4169, 7959, 12507, 29183

Step-4: Factors of 87560

List of positive integer factors of 87560 that divides 87549 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 199, 220, 398, 440, 796, 995, 1592, 1990, 2189, 3980, 4378, 7960, 8756, 10945, 17512, 21890, 43780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87549 and 87560. The biggest common factor number is the GCF number.
So the greatest common factor 87549 and 87560 is 11.

Also check out the Least Common Multiple of 87549 and 87560