What is the Greatest Common Factor of 63058 and 63070?

Greatest common factor (GCF) of 63058 and 63070 is 2.

GCF(63058,63070) = 2

We will now calculate the prime factors of 63058 and 63070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63058 and 63070.

How to find the GCF of 63058 and 63070?

We will first find the prime factorization of 63058 and 63070. After we will calculate the factors of 63058 and 63070 and find the biggest common factor number .

Step-1: Prime Factorization of 63058

Prime factors of 63058 are 2, 41, 769. Prime factorization of 63058 in exponential form is:

63058 = 2¹ × 41¹ × 769¹

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 63058

List of positive integer factors of 63058 that divides 63058 without a remainder.

1, 2, 41, 82, 769, 1538, 31529

Step-4: Factors of 63070

List of positive integer factors of 63070 that divides 63058 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 63058 and 63070. The biggest common factor number is the GCF number.
So the greatest common factor 63058 and 63070 is 2.

Also check out the Least Common Multiple of 63058 and 63070