What is the Greatest Common Factor of 35074 and 35088?

Greatest common factor (GCF) of 35074 and 35088 is 2.

GCF(35074,35088) = 2

We will now calculate the prime factors of 35074 and 35088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35074 and 35088.

How to find the GCF of 35074 and 35088?

We will first find the prime factorization of 35074 and 35088. After we will calculate the factors of 35074 and 35088 and find the biggest common factor number .

Step-1: Prime Factorization of 35074

Prime factors of 35074 are 2, 13, 19, 71. Prime factorization of 35074 in exponential form is:

35074 = 2¹ × 13¹ × 19¹ × 71¹

Step-2: Prime Factorization of 35088

Prime factors of 35088 are 2, 3, 17, 43. Prime factorization of 35088 in exponential form is:

35088 = 2⁴ × 3¹ × 17¹ × 43¹

Step-3: Factors of 35074

List of positive integer factors of 35074 that divides 35074 without a remainder.

1, 2, 13, 19, 26, 38, 71, 142, 247, 494, 923, 1349, 1846, 2698, 17537

Step-4: Factors of 35088

List of positive integer factors of 35088 that divides 35074 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 43, 48, 51, 68, 86, 102, 129, 136, 172, 204, 258, 272, 344, 408, 516, 688, 731, 816, 1032, 1462, 2064, 2193, 2924, 4386, 5848, 8772, 11696, 17544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35074 and 35088. The biggest common factor number is the GCF number.
So the greatest common factor 35074 and 35088 is 2.

Also check out the Least Common Multiple of 35074 and 35088