What is the Greatest Common Factor of 59282 and 59302?

Greatest common factor (GCF) of 59282 and 59302 is 2.

GCF(59282,59302) = 2

We will now calculate the prime factors of 59282 and 59302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59282 and 59302.

How to find the GCF of 59282 and 59302?

We will first find the prime factorization of 59282 and 59302. After we will calculate the factors of 59282 and 59302 and find the biggest common factor number .

Step-1: Prime Factorization of 59282

Prime factors of 59282 are 2, 29641. Prime factorization of 59282 in exponential form is:

59282 = 2¹ × 29641¹

Step-2: Prime Factorization of 59302

Prime factors of 59302 are 2, 149, 199. Prime factorization of 59302 in exponential form is:

59302 = 2¹ × 149¹ × 199¹

Step-3: Factors of 59282

List of positive integer factors of 59282 that divides 59282 without a remainder.

1, 2, 29641

Step-4: Factors of 59302

List of positive integer factors of 59302 that divides 59282 without a remainder.

1, 2, 149, 199, 298, 398, 29651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59282 and 59302. The biggest common factor number is the GCF number.
So the greatest common factor 59282 and 59302 is 2.

Also check out the Least Common Multiple of 59282 and 59302