What is the Greatest Common Factor of 70224 and 70235?

Greatest common factor (GCF) of 70224 and 70235 is 11.

GCF(70224,70235) = 11

We will now calculate the prime factors of 70224 and 70235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70224 and 70235.

How to find the GCF of 70224 and 70235?

We will first find the prime factorization of 70224 and 70235. After we will calculate the factors of 70224 and 70235 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 70235

Prime factors of 70235 are 5, 11, 1277. Prime factorization of 70235 in exponential form is:

70235 = 5¹ × 11¹ × 1277¹

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 70235

List of positive integer factors of 70235 that divides 70224 without a remainder.

1, 5, 11, 55, 1277, 6385, 14047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70224 and 70235. The biggest common factor number is the GCF number.
So the greatest common factor 70224 and 70235 is 11.

Also check out the Least Common Multiple of 70224 and 70235