What is the Greatest Common Factor of 35074 and 35078?

Greatest common factor (GCF) of 35074 and 35078 is 2.

GCF(35074,35078) = 2

We will now calculate the prime factors of 35074 and 35078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35074 and 35078.

How to find the GCF of 35074 and 35078?

We will first find the prime factorization of 35074 and 35078. After we will calculate the factors of 35074 and 35078 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 35078

Prime factors of 35078 are 2, 17539. Prime factorization of 35078 in exponential form is:

35078 = 2¹ × 17539¹

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 35078

List of positive integer factors of 35078 that divides 35074 without a remainder.

1, 2, 17539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35074 and 35078. The biggest common factor number is the GCF number.
So the greatest common factor 35074 and 35078 is 2.

Also check out the Least Common Multiple of 35074 and 35078