What is the Greatest Common Factor of 70490 and 70510?

Greatest common factor (GCF) of 70490 and 70510 is 10.

GCF(70490,70510) = 10

We will now calculate the prime factors of 70490 and 70510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70490 and 70510.

How to find the GCF of 70490 and 70510?

We will first find the prime factorization of 70490 and 70510. After we will calculate the factors of 70490 and 70510 and find the biggest common factor number .

Step-1: Prime Factorization of 70490

Prime factors of 70490 are 2, 5, 7, 19, 53. Prime factorization of 70490 in exponential form is:

70490 = 2¹ × 5¹ × 7¹ × 19¹ × 53¹

Step-2: Prime Factorization of 70510

Prime factors of 70510 are 2, 5, 11, 641. Prime factorization of 70510 in exponential form is:

70510 = 2¹ × 5¹ × 11¹ × 641¹

Step-3: Factors of 70490

List of positive integer factors of 70490 that divides 70490 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 53, 70, 95, 106, 133, 190, 265, 266, 371, 530, 665, 742, 1007, 1330, 1855, 2014, 3710, 5035, 7049, 10070, 14098, 35245

Step-4: Factors of 70510

List of positive integer factors of 70510 that divides 70490 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 641, 1282, 3205, 6410, 7051, 14102, 35255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70490 and 70510. The biggest common factor number is the GCF number.
So the greatest common factor 70490 and 70510 is 10.

Also check out the Least Common Multiple of 70490 and 70510