What is the Greatest Common Factor of 86120 and 86135?

Greatest common factor (GCF) of 86120 and 86135 is 5.

GCF(86120,86135) = 5

We will now calculate the prime factors of 86120 and 86135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86120 and 86135.

How to find the GCF of 86120 and 86135?

We will first find the prime factorization of 86120 and 86135. After we will calculate the factors of 86120 and 86135 and find the biggest common factor number .

Step-1: Prime Factorization of 86120

Prime factors of 86120 are 2, 5, 2153. Prime factorization of 86120 in exponential form is:

86120 = 2³ × 5¹ × 2153¹

Step-2: Prime Factorization of 86135

Prime factors of 86135 are 5, 7, 23, 107. Prime factorization of 86135 in exponential form is:

86135 = 5¹ × 7¹ × 23¹ × 107¹

Step-3: Factors of 86120

List of positive integer factors of 86120 that divides 86120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2153, 4306, 8612, 10765, 17224, 21530, 43060

Step-4: Factors of 86135

List of positive integer factors of 86135 that divides 86120 without a remainder.

1, 5, 7, 23, 35, 107, 115, 161, 535, 749, 805, 2461, 3745, 12305, 17227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86120 and 86135. The biggest common factor number is the GCF number.
So the greatest common factor 86120 and 86135 is 5.

Also check out the Least Common Multiple of 86120 and 86135