What is the Greatest Common Factor of 62135 and 62152?

Greatest common factor (GCF) of 62135 and 62152 is 17.

GCF(62135,62152) = 17

We will now calculate the prime factors of 62135 and 62152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62135 and 62152.

How to find the GCF of 62135 and 62152?

We will first find the prime factorization of 62135 and 62152. After we will calculate the factors of 62135 and 62152 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62152

Prime factors of 62152 are 2, 17, 457. Prime factorization of 62152 in exponential form is:

62152 = 2³ × 17¹ × 457¹

Step-3: Factors of 62135

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

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

Step-4: Factors of 62152

List of positive integer factors of 62152 that divides 62135 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 457, 914, 1828, 3656, 7769, 15538, 31076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62135 and 62152. The biggest common factor number is the GCF number.
So the greatest common factor 62135 and 62152 is 17.

Also check out the Least Common Multiple of 62135 and 62152