What is the Greatest Common Factor of 63074 and 63083?

Greatest common factor (GCF) of 63074 and 63083 is 1.

GCF(63074,63083) = 1

We will now calculate the prime factors of 63074 and 63083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63074 and 63083.

How to find the GCF of 63074 and 63083?

We will first find the prime factorization of 63074 and 63083. After we will calculate the factors of 63074 and 63083 and find the biggest common factor number .

Step-1: Prime Factorization of 63074

Prime factors of 63074 are 2, 11, 47, 61. Prime factorization of 63074 in exponential form is:

63074 = 2¹ × 11¹ × 47¹ × 61¹

Step-2: Prime Factorization of 63083

Prime factors of 63083 are 199, 317. Prime factorization of 63083 in exponential form is:

63083 = 199¹ × 317¹

Step-3: Factors of 63074

List of positive integer factors of 63074 that divides 63074 without a remainder.

1, 2, 11, 22, 47, 61, 94, 122, 517, 671, 1034, 1342, 2867, 5734, 31537

Step-4: Factors of 63083

List of positive integer factors of 63083 that divides 63074 without a remainder.

1, 199, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63074 and 63083. The biggest common factor number is the GCF number.
So the greatest common factor 63074 and 63083 is 1.

Also check out the Least Common Multiple of 63074 and 63083