What is the Greatest Common Factor of 85090 and 85095?

Greatest common factor (GCF) of 85090 and 85095 is 5.

GCF(85090,85095) = 5

We will now calculate the prime factors of 85090 and 85095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85090 and 85095.

How to find the GCF of 85090 and 85095?

We will first find the prime factorization of 85090 and 85095. After we will calculate the factors of 85090 and 85095 and find the biggest common factor number .

Step-1: Prime Factorization of 85090

Prime factors of 85090 are 2, 5, 67, 127. Prime factorization of 85090 in exponential form is:

85090 = 2¹ × 5¹ × 67¹ × 127¹

Step-2: Prime Factorization of 85095

Prime factors of 85095 are 3, 5, 31, 61. Prime factorization of 85095 in exponential form is:

85095 = 3² × 5¹ × 31¹ × 61¹

Step-3: Factors of 85090

List of positive integer factors of 85090 that divides 85090 without a remainder.

1, 2, 5, 10, 67, 127, 134, 254, 335, 635, 670, 1270, 8509, 17018, 42545

Step-4: Factors of 85095

List of positive integer factors of 85095 that divides 85090 without a remainder.

1, 3, 5, 9, 15, 31, 45, 61, 93, 155, 183, 279, 305, 465, 549, 915, 1395, 1891, 2745, 5673, 9455, 17019, 28365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85090 and 85095. The biggest common factor number is the GCF number.
So the greatest common factor 85090 and 85095 is 5.

Also check out the Least Common Multiple of 85090 and 85095