What is the Greatest Common Factor of 35074 and 35090?

Greatest common factor (GCF) of 35074 and 35090 is 2.

GCF(35074,35090) = 2

We will now calculate the prime factors of 35074 and 35090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35074 and 35090.

How to find the GCF of 35074 and 35090?

We will first find the prime factorization of 35074 and 35090. After we will calculate the factors of 35074 and 35090 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 35090

Prime factors of 35090 are 2, 5, 11, 29. Prime factorization of 35090 in exponential form is:

35090 = 2¹ × 5¹ × 11² × 29¹

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 35090

List of positive integer factors of 35090 that divides 35074 without a remainder.

1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 121, 145, 242, 290, 319, 605, 638, 1210, 1595, 3190, 3509, 7018, 17545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35074 and 35090. The biggest common factor number is the GCF number.
So the greatest common factor 35074 and 35090 is 2.

Also check out the Least Common Multiple of 35074 and 35090