What is the Greatest Common Factor of 63066 and 63070?

Greatest common factor (GCF) of 63066 and 63070 is 2.

GCF(63066,63070) = 2

We will now calculate the prime factors of 63066 and 63070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63066 and 63070.

How to find the GCF of 63066 and 63070?

We will first find the prime factorization of 63066 and 63070. After we will calculate the factors of 63066 and 63070 and find the biggest common factor number .

Step-1: Prime Factorization of 63066

Prime factors of 63066 are 2, 3, 23, 457. Prime factorization of 63066 in exponential form is:

63066 = 2¹ × 3¹ × 23¹ × 457¹

Step-2: Prime Factorization of 63070

Prime factors of 63070 are 2, 5, 7, 17, 53. Prime factorization of 63070 in exponential form is:

63070 = 2¹ × 5¹ × 7¹ × 17¹ × 53¹

Step-3: Factors of 63066

List of positive integer factors of 63066 that divides 63066 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 457, 914, 1371, 2742, 10511, 21022, 31533

Step-4: Factors of 63070

List of positive integer factors of 63070 that divides 63066 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 53, 70, 85, 106, 119, 170, 238, 265, 371, 530, 595, 742, 901, 1190, 1802, 1855, 3710, 4505, 6307, 9010, 12614, 31535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63066 and 63070. The biggest common factor number is the GCF number.
So the greatest common factor 63066 and 63070 is 2.

Also check out the Least Common Multiple of 63066 and 63070