What is the Greatest Common Factor of 59458 and 59462?

Greatest common factor (GCF) of 59458 and 59462 is 2.

GCF(59458,59462) = 2

We will now calculate the prime factors of 59458 and 59462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59458 and 59462.

How to find the GCF of 59458 and 59462?

We will first find the prime factorization of 59458 and 59462. After we will calculate the factors of 59458 and 59462 and find the biggest common factor number .

Step-1: Prime Factorization of 59458

Prime factors of 59458 are 2, 7, 31, 137. Prime factorization of 59458 in exponential form is:

59458 = 2¹ × 7¹ × 31¹ × 137¹

Step-2: Prime Factorization of 59462

Prime factors of 59462 are 2, 13, 2287. Prime factorization of 59462 in exponential form is:

59462 = 2¹ × 13¹ × 2287¹

Step-3: Factors of 59458

List of positive integer factors of 59458 that divides 59458 without a remainder.

1, 2, 7, 14, 31, 62, 137, 217, 274, 434, 959, 1918, 4247, 8494, 29729

Step-4: Factors of 59462

List of positive integer factors of 59462 that divides 59458 without a remainder.

1, 2, 13, 26, 2287, 4574, 29731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59458 and 59462. The biggest common factor number is the GCF number.
So the greatest common factor 59458 and 59462 is 2.

Also check out the Least Common Multiple of 59458 and 59462