What is the Greatest Common Factor of 57035 and 57046?

Greatest common factor (GCF) of 57035 and 57046 is 11.

GCF(57035,57046) = 11

We will now calculate the prime factors of 57035 and 57046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57035 and 57046.

How to find the GCF of 57035 and 57046?

We will first find the prime factorization of 57035 and 57046. After we will calculate the factors of 57035 and 57046 and find the biggest common factor number .

Step-1: Prime Factorization of 57035

Prime factors of 57035 are 5, 11, 17, 61. Prime factorization of 57035 in exponential form is:

57035 = 5¹ × 11¹ × 17¹ × 61¹

Step-2: Prime Factorization of 57046

Prime factors of 57046 are 2, 11, 2593. Prime factorization of 57046 in exponential form is:

57046 = 2¹ × 11¹ × 2593¹

Step-3: Factors of 57035

List of positive integer factors of 57035 that divides 57035 without a remainder.

1, 5, 11, 17, 55, 61, 85, 187, 305, 671, 935, 1037, 3355, 5185, 11407

Step-4: Factors of 57046

List of positive integer factors of 57046 that divides 57035 without a remainder.

1, 2, 11, 22, 2593, 5186, 28523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57035 and 57046. The biggest common factor number is the GCF number.
So the greatest common factor 57035 and 57046 is 11.

Also check out the Least Common Multiple of 57035 and 57046