What is the Greatest Common Factor of 35054 and 35074?

Greatest common factor (GCF) of 35054 and 35074 is 2.

GCF(35054,35074) = 2

We will now calculate the prime factors of 35054 and 35074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35054 and 35074.

How to find the GCF of 35054 and 35074?

We will first find the prime factorization of 35054 and 35074. After we will calculate the factors of 35054 and 35074 and find the biggest common factor number .

Step-1: Prime Factorization of 35054

Prime factors of 35054 are 2, 17, 1031. Prime factorization of 35054 in exponential form is:

35054 = 2¹ × 17¹ × 1031¹

Step-2: 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-3: Factors of 35054

List of positive integer factors of 35054 that divides 35054 without a remainder.

1, 2, 17, 34, 1031, 2062, 17527

Step-4: Factors of 35074

List of positive integer factors of 35074 that divides 35054 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35054 and 35074. The biggest common factor number is the GCF number.
So the greatest common factor 35054 and 35074 is 2.

Also check out the Least Common Multiple of 35054 and 35074