What is the Greatest Common Factor of 86614 and 86625?

Greatest common factor (GCF) of 86614 and 86625 is 11.

GCF(86614,86625) = 11

We will now calculate the prime factors of 86614 and 86625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86614 and 86625.

How to find the GCF of 86614 and 86625?

We will first find the prime factorization of 86614 and 86625. After we will calculate the factors of 86614 and 86625 and find the biggest common factor number .

Step-1: Prime Factorization of 86614

Prime factors of 86614 are 2, 11, 31, 127. Prime factorization of 86614 in exponential form is:

86614 = 2¹ × 11¹ × 31¹ × 127¹

Step-2: Prime Factorization of 86625

Prime factors of 86625 are 3, 5, 7, 11. Prime factorization of 86625 in exponential form is:

86625 = 3² × 5³ × 7¹ × 11¹

Step-3: Factors of 86614

List of positive integer factors of 86614 that divides 86614 without a remainder.

1, 2, 11, 22, 31, 62, 127, 254, 341, 682, 1397, 2794, 3937, 7874, 43307

Step-4: Factors of 86625

List of positive integer factors of 86625 that divides 86614 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 25, 33, 35, 45, 55, 63, 75, 77, 99, 105, 125, 165, 175, 225, 231, 275, 315, 375, 385, 495, 525, 693, 825, 875, 1125, 1155, 1375, 1575, 1925, 2475, 2625, 3465, 4125, 5775, 7875, 9625, 12375, 17325, 28875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86614 and 86625. The biggest common factor number is the GCF number.
So the greatest common factor 86614 and 86625 is 11.

Also check out the Least Common Multiple of 86614 and 86625