What is the Greatest Common Factor of 62116 and 62135?

Greatest common factor (GCF) of 62116 and 62135 is 1.

GCF(62116,62135) = 1

We will now calculate the prime factors of 62116 and 62135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62116 and 62135.

How to find the GCF of 62116 and 62135?

We will first find the prime factorization of 62116 and 62135. After we will calculate the factors of 62116 and 62135 and find the biggest common factor number .

Step-1: Prime Factorization of 62116

Prime factors of 62116 are 2, 53, 293. Prime factorization of 62116 in exponential form is:

62116 = 2² × 53¹ × 293¹

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 62116

List of positive integer factors of 62116 that divides 62116 without a remainder.

1, 2, 4, 53, 106, 212, 293, 586, 1172, 15529, 31058

Step-4: Factors of 62135

List of positive integer factors of 62135 that divides 62116 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 62116 and 62135. The biggest common factor number is the GCF number.
So the greatest common factor 62116 and 62135 is 1.

Also check out the Least Common Multiple of 62116 and 62135