What is the Greatest Common Factor of 63074 and 63078?

Greatest common factor (GCF) of 63074 and 63078 is 2.

GCF(63074,63078) = 2

We will now calculate the prime factors of 63074 and 63078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63074 and 63078.

How to find the GCF of 63074 and 63078?

We will first find the prime factorization of 63074 and 63078. After we will calculate the factors of 63074 and 63078 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 63078

Prime factors of 63078 are 2, 3, 10513. Prime factorization of 63078 in exponential form is:

63078 = 2¹ × 3¹ × 10513¹

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 63078

List of positive integer factors of 63078 that divides 63074 without a remainder.

1, 2, 3, 6, 10513, 21026, 31539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63074 and 63078. The biggest common factor number is the GCF number.
So the greatest common factor 63074 and 63078 is 2.

Also check out the Least Common Multiple of 63074 and 63078