What is the Greatest Common Factor of 60049 and 60056?

Greatest common factor (GCF) of 60049 and 60056 is 1.

GCF(60049,60056) = 1

We will now calculate the prime factors of 60049 and 60056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60049 and 60056.

How to find the GCF of 60049 and 60056?

We will first find the prime factorization of 60049 and 60056. After we will calculate the factors of 60049 and 60056 and find the biggest common factor number .

Step-1: Prime Factorization of 60049

Prime factors of 60049 are 11, 53, 103. Prime factorization of 60049 in exponential form is:

60049 = 11¹ × 53¹ × 103¹

Step-2: Prime Factorization of 60056

Prime factors of 60056 are 2, 7507. Prime factorization of 60056 in exponential form is:

60056 = 2³ × 7507¹

Step-3: Factors of 60049

List of positive integer factors of 60049 that divides 60049 without a remainder.

1, 11, 53, 103, 583, 1133, 5459

Step-4: Factors of 60056

List of positive integer factors of 60056 that divides 60049 without a remainder.

1, 2, 4, 8, 7507, 15014, 30028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60049 and 60056. The biggest common factor number is the GCF number.
So the greatest common factor 60049 and 60056 is 1.

Also check out the Least Common Multiple of 60049 and 60056