What is the Greatest Common Factor of 62085 and 62105?

Greatest common factor (GCF) of 62085 and 62105 is 5.

GCF(62085,62105) = 5

We will now calculate the prime factors of 62085 and 62105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62085 and 62105.

How to find the GCF of 62085 and 62105?

We will first find the prime factorization of 62085 and 62105. After we will calculate the factors of 62085 and 62105 and find the biggest common factor number .

Step-1: Prime Factorization of 62085

Prime factors of 62085 are 3, 5, 4139. Prime factorization of 62085 in exponential form is:

62085 = 3¹ × 5¹ × 4139¹

Step-2: Prime Factorization of 62105

Prime factors of 62105 are 5, 12421. Prime factorization of 62105 in exponential form is:

62105 = 5¹ × 12421¹

Step-3: Factors of 62085

List of positive integer factors of 62085 that divides 62085 without a remainder.

1, 3, 5, 15, 4139, 12417, 20695

Step-4: Factors of 62105

List of positive integer factors of 62105 that divides 62085 without a remainder.

1, 5, 12421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62085 and 62105. The biggest common factor number is the GCF number.
So the greatest common factor 62085 and 62105 is 5.

Also check out the Least Common Multiple of 62085 and 62105