What is the Greatest Common Factor of 62292 and 62309?

Greatest common factor (GCF) of 62292 and 62309 is 1.

GCF(62292,62309) = 1

We will now calculate the prime factors of 62292 and 62309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62292 and 62309.

How to find the GCF of 62292 and 62309?

We will first find the prime factorization of 62292 and 62309. After we will calculate the factors of 62292 and 62309 and find the biggest common factor number .

Step-1: Prime Factorization of 62292

Prime factors of 62292 are 2, 3, 29, 179. Prime factorization of 62292 in exponential form is:

62292 = 2² × 3¹ × 29¹ × 179¹

Step-2: Prime Factorization of 62309

Prime factors of 62309 are 13, 4793. Prime factorization of 62309 in exponential form is:

62309 = 13¹ × 4793¹

Step-3: Factors of 62292

List of positive integer factors of 62292 that divides 62292 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 179, 348, 358, 537, 716, 1074, 2148, 5191, 10382, 15573, 20764, 31146

Step-4: Factors of 62309

List of positive integer factors of 62309 that divides 62292 without a remainder.

1, 13, 4793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62292 and 62309. The biggest common factor number is the GCF number.
So the greatest common factor 62292 and 62309 is 1.

Also check out the Least Common Multiple of 62292 and 62309