What is the Greatest Common Factor of 59410 and 59426?

Greatest common factor (GCF) of 59410 and 59426 is 2.

GCF(59410,59426) = 2

We will now calculate the prime factors of 59410 and 59426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59410 and 59426.

How to find the GCF of 59410 and 59426?

We will first find the prime factorization of 59410 and 59426. After we will calculate the factors of 59410 and 59426 and find the biggest common factor number .

Step-1: Prime Factorization of 59410

Prime factors of 59410 are 2, 5, 13, 457. Prime factorization of 59410 in exponential form is:

59410 = 2¹ × 5¹ × 13¹ × 457¹

Step-2: Prime Factorization of 59426

Prime factors of 59426 are 2, 43, 691. Prime factorization of 59426 in exponential form is:

59426 = 2¹ × 43¹ × 691¹

Step-3: Factors of 59410

List of positive integer factors of 59410 that divides 59410 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 457, 914, 2285, 4570, 5941, 11882, 29705

Step-4: Factors of 59426

List of positive integer factors of 59426 that divides 59410 without a remainder.

1, 2, 43, 86, 691, 1382, 29713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59410 and 59426. The biggest common factor number is the GCF number.
So the greatest common factor 59410 and 59426 is 2.

Also check out the Least Common Multiple of 59410 and 59426