What is the Greatest Common Factor of 56749 and 56758?

Greatest common factor (GCF) of 56749 and 56758 is 1.

GCF(56749,56758) = 1

We will now calculate the prime factors of 56749 and 56758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56749 and 56758.

How to find the GCF of 56749 and 56758?

We will first find the prime factorization of 56749 and 56758. After we will calculate the factors of 56749 and 56758 and find the biggest common factor number .

Step-1: Prime Factorization of 56749

Prime factors of 56749 are 7, 11, 67. Prime factorization of 56749 in exponential form is:

56749 = 7¹ × 11² × 67¹

Step-2: Prime Factorization of 56758

Prime factors of 56758 are 2, 13, 37, 59. Prime factorization of 56758 in exponential form is:

56758 = 2¹ × 13¹ × 37¹ × 59¹

Step-3: Factors of 56749

List of positive integer factors of 56749 that divides 56749 without a remainder.

1, 7, 11, 67, 77, 121, 469, 737, 847, 5159, 8107

Step-4: Factors of 56758

List of positive integer factors of 56758 that divides 56749 without a remainder.

1, 2, 13, 26, 37, 59, 74, 118, 481, 767, 962, 1534, 2183, 4366, 28379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56749 and 56758. The biggest common factor number is the GCF number.
So the greatest common factor 56749 and 56758 is 1.

Also check out the Least Common Multiple of 56749 and 56758