What is the Greatest Common Factor of 35074 and 35092?

Greatest common factor (GCF) of 35074 and 35092 is 2.

GCF(35074,35092) = 2

We will now calculate the prime factors of 35074 and 35092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35074 and 35092.

How to find the GCF of 35074 and 35092?

We will first find the prime factorization of 35074 and 35092. After we will calculate the factors of 35074 and 35092 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 35092

Prime factors of 35092 are 2, 31, 283. Prime factorization of 35092 in exponential form is:

35092 = 2² × 31¹ × 283¹

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 35092

List of positive integer factors of 35092 that divides 35074 without a remainder.

1, 2, 4, 31, 62, 124, 283, 566, 1132, 8773, 17546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35074 and 35092. The biggest common factor number is the GCF number.
So the greatest common factor 35074 and 35092 is 2.

Also check out the Least Common Multiple of 35074 and 35092