What is the Greatest Common Factor of 61995 and 62013?

Greatest common factor (GCF) of 61995 and 62013 is 3.

GCF(61995,62013) = 3

We will now calculate the prime factors of 61995 and 62013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61995 and 62013.

How to find the GCF of 61995 and 62013?

We will first find the prime factorization of 61995 and 62013. After we will calculate the factors of 61995 and 62013 and find the biggest common factor number .

Step-1: Prime Factorization of 61995

Prime factors of 61995 are 3, 5, 4133. Prime factorization of 61995 in exponential form is:

61995 = 3¹ × 5¹ × 4133¹

Step-2: Prime Factorization of 62013

Prime factors of 62013 are 3, 7, 2953. Prime factorization of 62013 in exponential form is:

62013 = 3¹ × 7¹ × 2953¹

Step-3: Factors of 61995

List of positive integer factors of 61995 that divides 61995 without a remainder.

1, 3, 5, 15, 4133, 12399, 20665

Step-4: Factors of 62013

List of positive integer factors of 62013 that divides 61995 without a remainder.

1, 3, 7, 21, 2953, 8859, 20671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61995 and 62013. The biggest common factor number is the GCF number.
So the greatest common factor 61995 and 62013 is 3.

Also check out the Least Common Multiple of 61995 and 62013