What is the Greatest Common Factor of 87635 and 87652?

Greatest common factor (GCF) of 87635 and 87652 is 17.

GCF(87635,87652) = 17

We will now calculate the prime factors of 87635 and 87652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87635 and 87652.

How to find the GCF of 87635 and 87652?

We will first find the prime factorization of 87635 and 87652. After we will calculate the factors of 87635 and 87652 and find the biggest common factor number .

Step-1: Prime Factorization of 87635

Prime factors of 87635 are 5, 17, 1031. Prime factorization of 87635 in exponential form is:

87635 = 5¹ × 17¹ × 1031¹

Step-2: Prime Factorization of 87652

Prime factors of 87652 are 2, 17, 1289. Prime factorization of 87652 in exponential form is:

87652 = 2² × 17¹ × 1289¹

Step-3: Factors of 87635

List of positive integer factors of 87635 that divides 87635 without a remainder.

1, 5, 17, 85, 1031, 5155, 17527

Step-4: Factors of 87652

List of positive integer factors of 87652 that divides 87635 without a remainder.

1, 2, 4, 17, 34, 68, 1289, 2578, 5156, 21913, 43826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87635 and 87652. The biggest common factor number is the GCF number.
So the greatest common factor 87635 and 87652 is 17.

Also check out the Least Common Multiple of 87635 and 87652