What is the Greatest Common Factor of 49588 and 49602?

Greatest common factor (GCF) of 49588 and 49602 is 14.

GCF(49588,49602) = 14

We will now calculate the prime factors of 49588 and 49602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49588 and 49602.

How to find the GCF of 49588 and 49602?

We will first find the prime factorization of 49588 and 49602. After we will calculate the factors of 49588 and 49602 and find the biggest common factor number .

Step-1: Prime Factorization of 49588

Prime factors of 49588 are 2, 7, 11, 23. Prime factorization of 49588 in exponential form is:

49588 = 2² × 7² × 11¹ × 23¹

Step-2: Prime Factorization of 49602

Prime factors of 49602 are 2, 3, 7, 1181. Prime factorization of 49602 in exponential form is:

49602 = 2¹ × 3¹ × 7¹ × 1181¹

Step-3: Factors of 49588

List of positive integer factors of 49588 that divides 49588 without a remainder.

1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 49, 77, 92, 98, 154, 161, 196, 253, 308, 322, 506, 539, 644, 1012, 1078, 1127, 1771, 2156, 2254, 3542, 4508, 7084, 12397, 24794

Step-4: Factors of 49602

List of positive integer factors of 49602 that divides 49588 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1181, 2362, 3543, 7086, 8267, 16534, 24801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49588 and 49602. The biggest common factor number is the GCF number.
So the greatest common factor 49588 and 49602 is 14.

Also check out the Least Common Multiple of 49588 and 49602