What is the Greatest Common Factor of 87672 and 87685?

Greatest common factor (GCF) of 87672 and 87685 is 13.

GCF(87672,87685) = 13

We will now calculate the prime factors of 87672 and 87685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87672 and 87685.

How to find the GCF of 87672 and 87685?

We will first find the prime factorization of 87672 and 87685. After we will calculate the factors of 87672 and 87685 and find the biggest common factor number .

Step-1: Prime Factorization of 87672

Prime factors of 87672 are 2, 3, 13, 281. Prime factorization of 87672 in exponential form is:

87672 = 2³ × 3¹ × 13¹ × 281¹

Step-2: Prime Factorization of 87685

Prime factors of 87685 are 5, 13, 19, 71. Prime factorization of 87685 in exponential form is:

87685 = 5¹ × 13¹ × 19¹ × 71¹

Step-3: Factors of 87672

List of positive integer factors of 87672 that divides 87672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 281, 312, 562, 843, 1124, 1686, 2248, 3372, 3653, 6744, 7306, 10959, 14612, 21918, 29224, 43836

Step-4: Factors of 87685

List of positive integer factors of 87685 that divides 87672 without a remainder.

1, 5, 13, 19, 65, 71, 95, 247, 355, 923, 1235, 1349, 4615, 6745, 17537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87672 and 87685. The biggest common factor number is the GCF number.
So the greatest common factor 87672 and 87685 is 13.

Also check out the Least Common Multiple of 87672 and 87685