What is the Greatest Common Factor of 63070 and 63084?

Greatest common factor (GCF) of 63070 and 63084 is 14.

GCF(63070,63084) = 14

We will now calculate the prime factors of 63070 and 63084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63070 and 63084.

How to find the GCF of 63070 and 63084?

We will first find the prime factorization of 63070 and 63084. After we will calculate the factors of 63070 and 63084 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63084

Prime factors of 63084 are 2, 3, 7, 751. Prime factorization of 63084 in exponential form is:

63084 = 2² × 3¹ × 7¹ × 751¹

Step-3: Factors of 63070

List of positive integer factors of 63070 that divides 63070 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

Step-4: Factors of 63084

List of positive integer factors of 63084 that divides 63070 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 751, 1502, 2253, 3004, 4506, 5257, 9012, 10514, 15771, 21028, 31542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63070 and 63084. The biggest common factor number is the GCF number.
So the greatest common factor 63070 and 63084 is 14.

Also check out the Least Common Multiple of 63070 and 63084