What is the Greatest Common Factor of 62279 and 62286?

Greatest common factor (GCF) of 62279 and 62286 is 7.

GCF(62279,62286) = 7

We will now calculate the prime factors of 62279 and 62286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62279 and 62286.

How to find the GCF of 62279 and 62286?

We will first find the prime factorization of 62279 and 62286. After we will calculate the factors of 62279 and 62286 and find the biggest common factor number .

Step-1: Prime Factorization of 62279

Prime factors of 62279 are 7, 31, 41. Prime factorization of 62279 in exponential form is:

62279 = 7² × 31¹ × 41¹

Step-2: Prime Factorization of 62286

Prime factors of 62286 are 2, 3, 7, 1483. Prime factorization of 62286 in exponential form is:

62286 = 2¹ × 3¹ × 7¹ × 1483¹

Step-3: Factors of 62279

List of positive integer factors of 62279 that divides 62279 without a remainder.

1, 7, 31, 41, 49, 217, 287, 1271, 1519, 2009, 8897

Step-4: Factors of 62286

List of positive integer factors of 62286 that divides 62279 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1483, 2966, 4449, 8898, 10381, 20762, 31143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62279 and 62286. The biggest common factor number is the GCF number.
So the greatest common factor 62279 and 62286 is 7.

Also check out the Least Common Multiple of 62279 and 62286