What is the Greatest Common Factor of 62277 and 62283?

Greatest common factor (GCF) of 62277 and 62283 is 3.

GCF(62277,62283) = 3

We will now calculate the prime factors of 62277 and 62283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62277 and 62283.

How to find the GCF of 62277 and 62283?

We will first find the prime factorization of 62277 and 62283. After we will calculate the factors of 62277 and 62283 and find the biggest common factor number .

Step-1: Prime Factorization of 62277

Prime factors of 62277 are 3, 20759. Prime factorization of 62277 in exponential form is:

62277 = 3¹ × 20759¹

Step-2: Prime Factorization of 62283

Prime factors of 62283 are 3, 13, 1597. Prime factorization of 62283 in exponential form is:

62283 = 3¹ × 13¹ × 1597¹

Step-3: Factors of 62277

List of positive integer factors of 62277 that divides 62277 without a remainder.

1, 3, 20759

Step-4: Factors of 62283

List of positive integer factors of 62283 that divides 62277 without a remainder.

1, 3, 13, 39, 1597, 4791, 20761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62277 and 62283. The biggest common factor number is the GCF number.
So the greatest common factor 62277 and 62283 is 3.

Also check out the Least Common Multiple of 62277 and 62283