What is the Greatest Common Factor of 70213 and 70218?

Greatest common factor (GCF) of 70213 and 70218 is 1.

GCF(70213,70218) = 1

We will now calculate the prime factors of 70213 and 70218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70213 and 70218.

How to find the GCF of 70213 and 70218?

We will first find the prime factorization of 70213 and 70218. After we will calculate the factors of 70213 and 70218 and find the biggest common factor number .

Step-1: Prime Factorization of 70213

Prime factors of 70213 are 11, 13, 491. Prime factorization of 70213 in exponential form is:

70213 = 11¹ × 13¹ × 491¹

Step-2: Prime Factorization of 70218

Prime factors of 70218 are 2, 3, 47, 83. Prime factorization of 70218 in exponential form is:

70218 = 2¹ × 3² × 47¹ × 83¹

Step-3: Factors of 70213

List of positive integer factors of 70213 that divides 70213 without a remainder.

1, 11, 13, 143, 491, 5401, 6383

Step-4: Factors of 70218

List of positive integer factors of 70218 that divides 70213 without a remainder.

1, 2, 3, 6, 9, 18, 47, 83, 94, 141, 166, 249, 282, 423, 498, 747, 846, 1494, 3901, 7802, 11703, 23406, 35109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70213 and 70218. The biggest common factor number is the GCF number.
So the greatest common factor 70213 and 70218 is 1.

Also check out the Least Common Multiple of 70213 and 70218