What is the Greatest Common Factor of 59494 and 59512?

Greatest common factor (GCF) of 59494 and 59512 is 2.

GCF(59494,59512) = 2

We will now calculate the prime factors of 59494 and 59512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59494 and 59512.

How to find the GCF of 59494 and 59512?

We will first find the prime factorization of 59494 and 59512. After we will calculate the factors of 59494 and 59512 and find the biggest common factor number .

Step-1: Prime Factorization of 59494

Prime factors of 59494 are 2, 151, 197. Prime factorization of 59494 in exponential form is:

59494 = 2¹ × 151¹ × 197¹

Step-2: Prime Factorization of 59512

Prime factors of 59512 are 2, 43, 173. Prime factorization of 59512 in exponential form is:

59512 = 2³ × 43¹ × 173¹

Step-3: Factors of 59494

List of positive integer factors of 59494 that divides 59494 without a remainder.

1, 2, 151, 197, 302, 394, 29747

Step-4: Factors of 59512

List of positive integer factors of 59512 that divides 59494 without a remainder.

1, 2, 4, 8, 43, 86, 172, 173, 344, 346, 692, 1384, 7439, 14878, 29756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59494 and 59512. The biggest common factor number is the GCF number.
So the greatest common factor 59494 and 59512 is 2.

Also check out the Least Common Multiple of 59494 and 59512