What is the Greatest Common Factor of 70265 and 70278?

Greatest common factor (GCF) of 70265 and 70278 is 13.

GCF(70265,70278) = 13

We will now calculate the prime factors of 70265 and 70278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70265 and 70278.

How to find the GCF of 70265 and 70278?

We will first find the prime factorization of 70265 and 70278. After we will calculate the factors of 70265 and 70278 and find the biggest common factor number .

Step-1: Prime Factorization of 70265

Prime factors of 70265 are 5, 13, 23, 47. Prime factorization of 70265 in exponential form is:

70265 = 5¹ × 13¹ × 23¹ × 47¹

Step-2: Prime Factorization of 70278

Prime factors of 70278 are 2, 3, 13, 17, 53. Prime factorization of 70278 in exponential form is:

70278 = 2¹ × 3¹ × 13¹ × 17¹ × 53¹

Step-3: Factors of 70265

List of positive integer factors of 70265 that divides 70265 without a remainder.

1, 5, 13, 23, 47, 65, 115, 235, 299, 611, 1081, 1495, 3055, 5405, 14053

Step-4: Factors of 70278

List of positive integer factors of 70278 that divides 70265 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 53, 78, 102, 106, 159, 221, 318, 442, 663, 689, 901, 1326, 1378, 1802, 2067, 2703, 4134, 5406, 11713, 23426, 35139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70265 and 70278. The biggest common factor number is the GCF number.
So the greatest common factor 70265 and 70278 is 13.

Also check out the Least Common Multiple of 70265 and 70278