What is the Greatest Common Factor of 87684 and 87702?

Greatest common factor (GCF) of 87684 and 87702 is 6.

GCF(87684,87702) = 6

We will now calculate the prime factors of 87684 and 87702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87684 and 87702.

How to find the GCF of 87684 and 87702?

We will first find the prime factorization of 87684 and 87702. After we will calculate the factors of 87684 and 87702 and find the biggest common factor number .

Step-1: Prime Factorization of 87684

Prime factors of 87684 are 2, 3, 7307. Prime factorization of 87684 in exponential form is:

87684 = 2² × 3¹ × 7307¹

Step-2: Prime Factorization of 87702

Prime factors of 87702 are 2, 3, 47, 311. Prime factorization of 87702 in exponential form is:

87702 = 2¹ × 3¹ × 47¹ × 311¹

Step-3: Factors of 87684

List of positive integer factors of 87684 that divides 87684 without a remainder.

1, 2, 3, 4, 6, 12, 7307, 14614, 21921, 29228, 43842

Step-4: Factors of 87702

List of positive integer factors of 87702 that divides 87684 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282, 311, 622, 933, 1866, 14617, 29234, 43851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87684 and 87702. The biggest common factor number is the GCF number.
So the greatest common factor 87684 and 87702 is 6.

Also check out the Least Common Multiple of 87684 and 87702