What is the Greatest Common Factor of 62797 and 62811?

Greatest common factor (GCF) of 62797 and 62811 is 7.

GCF(62797,62811) = 7

We will now calculate the prime factors of 62797 and 62811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62797 and 62811.

How to find the GCF of 62797 and 62811?

We will first find the prime factorization of 62797 and 62811. After we will calculate the factors of 62797 and 62811 and find the biggest common factor number .

Step-1: Prime Factorization of 62797

Prime factors of 62797 are 7, 8971. Prime factorization of 62797 in exponential form is:

62797 = 7¹ × 8971¹

Step-2: Prime Factorization of 62811

Prime factors of 62811 are 3, 7, 997. Prime factorization of 62811 in exponential form is:

62811 = 3² × 7¹ × 997¹

Step-3: Factors of 62797

List of positive integer factors of 62797 that divides 62797 without a remainder.

1, 7, 8971

Step-4: Factors of 62811

List of positive integer factors of 62811 that divides 62797 without a remainder.

1, 3, 7, 9, 21, 63, 997, 2991, 6979, 8973, 20937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62797 and 62811. The biggest common factor number is the GCF number.
So the greatest common factor 62797 and 62811 is 7.

Also check out the Least Common Multiple of 62797 and 62811