What is the Greatest Common Factor of 63074 and 63085?

Greatest common factor (GCF) of 63074 and 63085 is 11.

GCF(63074,63085) = 11

We will now calculate the prime factors of 63074 and 63085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63074 and 63085.

How to find the GCF of 63074 and 63085?

We will first find the prime factorization of 63074 and 63085. After we will calculate the factors of 63074 and 63085 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 63085

Prime factors of 63085 are 5, 11, 31, 37. Prime factorization of 63085 in exponential form is:

63085 = 5¹ × 11¹ × 31¹ × 37¹

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 63085

List of positive integer factors of 63085 that divides 63074 without a remainder.

1, 5, 11, 31, 37, 55, 155, 185, 341, 407, 1147, 1705, 2035, 5735, 12617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63074 and 63085. The biggest common factor number is the GCF number.
So the greatest common factor 63074 and 63085 is 11.

Also check out the Least Common Multiple of 63074 and 63085