What is the Greatest Common Factor of 62649 and 62661?

Greatest common factor (GCF) of 62649 and 62661 is 3.

GCF(62649,62661) = 3

We will now calculate the prime factors of 62649 and 62661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62649 and 62661.

How to find the GCF of 62649 and 62661?

We will first find the prime factorization of 62649 and 62661. After we will calculate the factors of 62649 and 62661 and find the biggest common factor number .

Step-1: Prime Factorization of 62649

Prime factors of 62649 are 3, 6961. Prime factorization of 62649 in exponential form is:

62649 = 3² × 6961¹

Step-2: Prime Factorization of 62661

Prime factors of 62661 are 3, 20887. Prime factorization of 62661 in exponential form is:

62661 = 3¹ × 20887¹

Step-3: Factors of 62649

List of positive integer factors of 62649 that divides 62649 without a remainder.

1, 3, 9, 6961, 20883

Step-4: Factors of 62661

List of positive integer factors of 62661 that divides 62649 without a remainder.

1, 3, 20887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62649 and 62661. The biggest common factor number is the GCF number.
So the greatest common factor 62649 and 62661 is 3.

Also check out the Least Common Multiple of 62649 and 62661