What is the Greatest Common Factor of 61998 and 62014?

Greatest common factor (GCF) of 61998 and 62014 is 2.

GCF(61998,62014) = 2

We will now calculate the prime factors of 61998 and 62014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61998 and 62014.

How to find the GCF of 61998 and 62014?

We will first find the prime factorization of 61998 and 62014. After we will calculate the factors of 61998 and 62014 and find the biggest common factor number .

Step-1: Prime Factorization of 61998

Prime factors of 61998 are 2, 3, 10333. Prime factorization of 61998 in exponential form is:

61998 = 2¹ × 3¹ × 10333¹

Step-2: Prime Factorization of 62014

Prime factors of 62014 are 2, 101, 307. Prime factorization of 62014 in exponential form is:

62014 = 2¹ × 101¹ × 307¹

Step-3: Factors of 61998

List of positive integer factors of 61998 that divides 61998 without a remainder.

1, 2, 3, 6, 10333, 20666, 30999

Step-4: Factors of 62014

List of positive integer factors of 62014 that divides 61998 without a remainder.

1, 2, 101, 202, 307, 614, 31007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61998 and 62014. The biggest common factor number is the GCF number.
So the greatest common factor 61998 and 62014 is 2.

Also check out the Least Common Multiple of 61998 and 62014