What is the Greatest Common Factor of 35049 and 35056?

Greatest common factor (GCF) of 35049 and 35056 is 7.

GCF(35049,35056) = 7

We will now calculate the prime factors of 35049 and 35056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35049 and 35056.

How to find the GCF of 35049 and 35056?

We will first find the prime factorization of 35049 and 35056. After we will calculate the factors of 35049 and 35056 and find the biggest common factor number .

Step-1: Prime Factorization of 35049

Prime factors of 35049 are 3, 7, 1669. Prime factorization of 35049 in exponential form is:

35049 = 3¹ × 7¹ × 1669¹

Step-2: Prime Factorization of 35056

Prime factors of 35056 are 2, 7, 313. Prime factorization of 35056 in exponential form is:

35056 = 2⁴ × 7¹ × 313¹

Step-3: Factors of 35049

List of positive integer factors of 35049 that divides 35049 without a remainder.

1, 3, 7, 21, 1669, 5007, 11683

Step-4: Factors of 35056

List of positive integer factors of 35056 that divides 35049 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 313, 626, 1252, 2191, 2504, 4382, 5008, 8764, 17528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35049 and 35056. The biggest common factor number is the GCF number.
So the greatest common factor 35049 and 35056 is 7.

Also check out the Least Common Multiple of 35049 and 35056