What is the Greatest Common Factor of 87829 and 87840?

Greatest common factor (GCF) of 87829 and 87840 is 1.

GCF(87829,87840) = 1

We will now calculate the prime factors of 87829 and 87840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87829 and 87840.

How to find the GCF of 87829 and 87840?

We will first find the prime factorization of 87829 and 87840. After we will calculate the factors of 87829 and 87840 and find the biggest common factor number .

Step-1: Prime Factorization of 87829

Prime factors of 87829 are 7, 12547. Prime factorization of 87829 in exponential form is:

87829 = 7¹ × 12547¹

Step-2: Prime Factorization of 87840

Prime factors of 87840 are 2, 3, 5, 61. Prime factorization of 87840 in exponential form is:

87840 = 2⁵ × 3² × 5¹ × 61¹

Step-3: Factors of 87829

List of positive integer factors of 87829 that divides 87829 without a remainder.

1, 7, 12547

Step-4: Factors of 87840

List of positive integer factors of 87840 that divides 87829 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 61, 72, 80, 90, 96, 120, 122, 144, 160, 180, 183, 240, 244, 288, 305, 360, 366, 480, 488, 549, 610, 720, 732, 915, 976, 1098, 1220, 1440, 1464, 1830, 1952, 2196, 2440, 2745, 2928, 3660, 4392, 4880, 5490, 5856, 7320, 8784, 9760, 10980, 14640, 17568, 21960, 29280, 43920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87829 and 87840. The biggest common factor number is the GCF number.
So the greatest common factor 87829 and 87840 is 1.

Also check out the Least Common Multiple of 87829 and 87840