What is the Greatest Common Factor of 62084 and 62101?

Greatest common factor (GCF) of 62084 and 62101 is 17.

GCF(62084,62101) = 17

We will now calculate the prime factors of 62084 and 62101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62084 and 62101.

How to find the GCF of 62084 and 62101?

We will first find the prime factorization of 62084 and 62101. After we will calculate the factors of 62084 and 62101 and find the biggest common factor number .

Step-1: Prime Factorization of 62084

Prime factors of 62084 are 2, 11, 17, 83. Prime factorization of 62084 in exponential form is:

62084 = 2² × 11¹ × 17¹ × 83¹

Step-2: Prime Factorization of 62101

Prime factors of 62101 are 13, 17, 281. Prime factorization of 62101 in exponential form is:

62101 = 13¹ × 17¹ × 281¹

Step-3: Factors of 62084

List of positive integer factors of 62084 that divides 62084 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 83, 166, 187, 332, 374, 748, 913, 1411, 1826, 2822, 3652, 5644, 15521, 31042

Step-4: Factors of 62101

List of positive integer factors of 62101 that divides 62084 without a remainder.

1, 13, 17, 221, 281, 3653, 4777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62084 and 62101. The biggest common factor number is the GCF number.
So the greatest common factor 62084 and 62101 is 17.

Also check out the Least Common Multiple of 62084 and 62101