What is the Greatest Common Factor of 62118 and 62135?

Greatest common factor (GCF) of 62118 and 62135 is 17.

GCF(62118,62135) = 17

We will now calculate the prime factors of 62118 and 62135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62118 and 62135.

How to find the GCF of 62118 and 62135?

We will first find the prime factorization of 62118 and 62135. After we will calculate the factors of 62118 and 62135 and find the biggest common factor number .

Step-1: Prime Factorization of 62118

Prime factors of 62118 are 2, 3, 7, 17, 29. Prime factorization of 62118 in exponential form is:

62118 = 2¹ × 3² × 7¹ × 17¹ × 29¹

Step-2: Prime Factorization of 62135

Prime factors of 62135 are 5, 17, 43. Prime factorization of 62135 in exponential form is:

62135 = 5¹ × 17² × 43¹

Step-3: Factors of 62118

List of positive integer factors of 62118 that divides 62118 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 29, 34, 42, 51, 58, 63, 87, 102, 119, 126, 153, 174, 203, 238, 261, 306, 357, 406, 493, 522, 609, 714, 986, 1071, 1218, 1479, 1827, 2142, 2958, 3451, 3654, 4437, 6902, 8874, 10353, 20706, 31059

Step-4: Factors of 62135

List of positive integer factors of 62135 that divides 62118 without a remainder.

1, 5, 17, 43, 85, 215, 289, 731, 1445, 3655, 12427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62118 and 62135. The biggest common factor number is the GCF number.
So the greatest common factor 62118 and 62135 is 17.

Also check out the Least Common Multiple of 62118 and 62135