What is the Greatest Common Factor of 60095 and 60112?

Greatest common factor (GCF) of 60095 and 60112 is 17.

GCF(60095,60112) = 17

We will now calculate the prime factors of 60095 and 60112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60095 and 60112.

How to find the GCF of 60095 and 60112?

We will first find the prime factorization of 60095 and 60112. After we will calculate the factors of 60095 and 60112 and find the biggest common factor number .

Step-1: Prime Factorization of 60095

Prime factors of 60095 are 5, 7, 17, 101. Prime factorization of 60095 in exponential form is:

60095 = 5¹ × 7¹ × 17¹ × 101¹

Step-2: Prime Factorization of 60112

Prime factors of 60112 are 2, 13, 17. Prime factorization of 60112 in exponential form is:

60112 = 2⁴ × 13¹ × 17²

Step-3: Factors of 60095

List of positive integer factors of 60095 that divides 60095 without a remainder.

1, 5, 7, 17, 35, 85, 101, 119, 505, 595, 707, 1717, 3535, 8585, 12019

Step-4: Factors of 60112

List of positive integer factors of 60112 that divides 60095 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 289, 442, 578, 884, 1156, 1768, 2312, 3536, 3757, 4624, 7514, 15028, 30056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60095 and 60112. The biggest common factor number is the GCF number.
So the greatest common factor 60095 and 60112 is 17.

Also check out the Least Common Multiple of 60095 and 60112