What is the Greatest Common Factor of 70498 and 70510?

Greatest common factor (GCF) of 70498 and 70510 is 2.

GCF(70498,70510) = 2

We will now calculate the prime factors of 70498 and 70510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70498 and 70510.

How to find the GCF of 70498 and 70510?

We will first find the prime factorization of 70498 and 70510. After we will calculate the factors of 70498 and 70510 and find the biggest common factor number .

Step-1: Prime Factorization of 70498

Prime factors of 70498 are 2, 101, 349. Prime factorization of 70498 in exponential form is:

70498 = 2¹ × 101¹ × 349¹

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 70498

List of positive integer factors of 70498 that divides 70498 without a remainder.

1, 2, 101, 202, 349, 698, 35249

Step-4: Factors of 70510

List of positive integer factors of 70510 that divides 70498 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 70498 and 70510. The biggest common factor number is the GCF number.
So the greatest common factor 70498 and 70510 is 2.

Also check out the Least Common Multiple of 70498 and 70510