What is the Greatest Common Factor of 70224 and 70238?

Greatest common factor (GCF) of 70224 and 70238 is 14.

GCF(70224,70238) = 14

We will now calculate the prime factors of 70224 and 70238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70224 and 70238.

How to find the GCF of 70224 and 70238?

We will first find the prime factorization of 70224 and 70238. After we will calculate the factors of 70224 and 70238 and find the biggest common factor number .

Step-1: Prime Factorization of 70224

Prime factors of 70224 are 2, 3, 7, 11, 19. Prime factorization of 70224 in exponential form is:

70224 = 2⁴ × 3¹ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 70238

Prime factors of 70238 are 2, 7, 29, 173. Prime factorization of 70238 in exponential form is:

70238 = 2¹ × 7¹ × 29¹ × 173¹

Step-3: Factors of 70224

List of positive integer factors of 70224 that divides 70224 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 19, 21, 22, 24, 28, 33, 38, 42, 44, 48, 56, 57, 66, 76, 77, 84, 88, 112, 114, 132, 133, 152, 154, 168, 176, 209, 228, 231, 264, 266, 304, 308, 336, 399, 418, 456, 462, 528, 532, 616, 627, 798, 836, 912, 924, 1064, 1232, 1254, 1463, 1596, 1672, 1848, 2128, 2508, 2926, 3192, 3344, 3696, 4389, 5016, 5852, 6384, 8778, 10032, 11704, 17556, 23408, 35112

Step-4: Factors of 70238

List of positive integer factors of 70238 that divides 70224 without a remainder.

1, 2, 7, 14, 29, 58, 173, 203, 346, 406, 1211, 2422, 5017, 10034, 35119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70224 and 70238. The biggest common factor number is the GCF number.
So the greatest common factor 70224 and 70238 is 14.

Also check out the Least Common Multiple of 70224 and 70238