What is the Greatest Common Factor of 86261 and 86275?

Greatest common factor (GCF) of 86261 and 86275 is 7.

GCF(86261,86275) = 7

We will now calculate the prime factors of 86261 and 86275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86261 and 86275.

How to find the GCF of 86261 and 86275?

We will first find the prime factorization of 86261 and 86275. After we will calculate the factors of 86261 and 86275 and find the biggest common factor number .

Step-1: Prime Factorization of 86261

Prime factors of 86261 are 7, 12323. Prime factorization of 86261 in exponential form is:

86261 = 7¹ × 12323¹

Step-2: Prime Factorization of 86275

Prime factors of 86275 are 5, 7, 17, 29. Prime factorization of 86275 in exponential form is:

86275 = 5² × 7¹ × 17¹ × 29¹

Step-3: Factors of 86261

List of positive integer factors of 86261 that divides 86261 without a remainder.

1, 7, 12323

Step-4: Factors of 86275

List of positive integer factors of 86275 that divides 86261 without a remainder.

1, 5, 7, 17, 25, 29, 35, 85, 119, 145, 175, 203, 425, 493, 595, 725, 1015, 2465, 2975, 3451, 5075, 12325, 17255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86261 and 86275. The biggest common factor number is the GCF number.
So the greatest common factor 86261 and 86275 is 7.

Also check out the Least Common Multiple of 86261 and 86275