What is the Greatest Common Factor of 35050 and 35054?

Greatest common factor (GCF) of 35050 and 35054 is 2.

GCF(35050,35054) = 2

We will now calculate the prime factors of 35050 and 35054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35050 and 35054.

How to find the GCF of 35050 and 35054?

We will first find the prime factorization of 35050 and 35054. After we will calculate the factors of 35050 and 35054 and find the biggest common factor number .

Step-1: Prime Factorization of 35050

Prime factors of 35050 are 2, 5, 701. Prime factorization of 35050 in exponential form is:

35050 = 2¹ × 5² × 701¹

Step-2: 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-3: Factors of 35050

List of positive integer factors of 35050 that divides 35050 without a remainder.

1, 2, 5, 10, 25, 50, 701, 1402, 3505, 7010, 17525

Step-4: Factors of 35054

List of positive integer factors of 35054 that divides 35050 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35050 and 35054. The biggest common factor number is the GCF number.
So the greatest common factor 35050 and 35054 is 2.

Also check out the Least Common Multiple of 35050 and 35054